Saks5th

“From 7 batsmen, the number of ways to choose 5 = 7C5 = (7*6*5*4*3)/(5*4*3*2*1) = 21.
From 6 bowlers, the number of ways to choose 4 = 6C4 = (6*5*4*3)/(4*3*2*1) = 15.
From 3 wicketkeepers, the number of ways to choose 1 = 3.
From 3 allrounders, the number of ways to choose 1 = 3.
To combine these ...”

“Let x=1 and y=3/2, with the result that 1/z = 1 - 2/3 = 1/3, so z=3.
Since the question stem asks for the value of y, the correct answer must yield 3/2 when x=1 and z=3.
Since B and D include x-z and thus will yield a negative result, eliminate B and D.
Since E includes only multiplication and ...”

“Statements combined:
Case 1: p=0, with the result that p is an integer less than 1
In this case, p³=p, so the answer to the question stem is NO.
Case 2: p=-2, with the result that p is an integer less than 1
In this case, p³ < p, so the answer to the question stem is YES.
Since the answer ...”

“https://i.postimg.cc/06HLPxqC/circle-in-a-sector.png
AOP passes through the center of the inscribed circle and thus must BISECT sector ACB.
AB, AP and AC are all radii of sector ACB and thus are equal.
The prompt indicates AB=AC=12.
Thus:
AP=12.
As shown in the figure, AOM is a 30-60-90 ...”

“25% greater = 1/4 greater.
If the smaller integer = 4, then the larger integer = 4 + (1/4)4 = 5.
The values in red imply that the two integers summing to 27 must be in a RATIO OF 4 TO 5:
4, 5
8, 10
12, 15
The case in blue sums to 27, with the result that larger-smaller = 15-12 = 3.
The ...”

“Since b and c form a straight line, b+c = 180.
Thus, the calculate a+b+c, we need to know the value of a.
Question stem, rephrased:
What is the value of a?
Statement 1:
SUFFICIENT.
Statement 2:
No information about a.
INSUFFICIENT.
The correct answer is A.”

“Total number of items brought to the meeting = 21. (10 charts and 11 pencils)
Number of items brought by each person = 3. (Either 2 pencils and 1 chart or 1 pencil and 2 charts)
Thus:
Number of people = (total number of items)/(number of items per person) = 21/3 = 7.
The correct answer is B.”

“Hi All,
We''re asked which of the following points is the intersection between the lines y = 3x + 6 and y = -2x - 4. This question can be solved in a number of different ways, including by TESTing THE ANSWERS.
Since we''re dealing with two lines - and we now that the two lines intersect - ...”

“Hi All,
We''re told that a certain taxi company charges $3.10 for the first 1/5 of a mile plus $0.40 for each additional 1/5 of a mile. We''re asked for the total charge for a taxi ride that was 8 miles long?
The prompt gives us the price per 1/5 of a mile for a taxi ride. It''s worth noting ...”

“Hi All,
We''re told that George bought a large electronic item with a 15% off coupon and paid a total bill. When he got outside, he studied the receipt and realize that he mistakenly had been given DOUBLE the discount of the coupon, even though there was no double-coupon offer in effect that ...”

“Determine the WORST-CASE-SCENARIO -- for each color of ball, the MAXIMUM number that can be removed WITHOUT removing 7 of the same color:
1 red
3 green
5 yellow
6 blue
6 white
6 black
Sum = 1+3+5+6+6+6 = 27.
Implication:
It is possible to remove 27 balls without selecting 7 of the same ...”

“The system will have an infinite number of solutions for (x, y) if the two equations are THE SAME:
2(x+y) - A = 0 --> 2x + 2y - A = 0 --> 6x + 6y - 3A = 0
3x + By - 6 = 0 -----------------------> 6x +2By - 12 = 0
The equations in blue will be the same if 3A=12 and 2B=6, with the result ...”

“When two elements travel at different speeds, their TIME RATIO to travel the same distance will always be the same.
If A takes 1/2 as long as B to travel 10 miles, then A will take 1/2 as long as B to travel 1000 miles.
If A takes 3 times as long as B to travel 500 miles, then A will take three ...”

“Let the 5 colors be GYABC.
From the 5 colors, the number of ways to choose 3 = 5C3 = (5*4*3)/(3*2*1) = 10.
Of these 10 combinations, 3 are not allowed:
GYA
GYB
GYC
Subtracting these 3 bad combinations, we get:
10-3 = 7.
The correct answer is A.”

“MULTIPLE OF X + MULTIPLE OF X = MULTIPLE OF X.
MULTIPLE OF X + NON-MULTIPLE OF X = NON-MULTIPLE OF X.
Since the prime-factorization of 15! includes 13, we get:
a = 15! + 13 = multiple of 13 + multiple of 13 = multiple of 13.
Since a is a multiple of 13, option I is a factor of a.
Eliminate ...”

“AND means MULTIPLY.
OR means ADD.
Case 1: 2 doves
P(1st animal is a dove) = 3/5. (Of the 5 animals, 3 are doves.)
P(2nd animal is a dove) = 2/4. (Of the 4 remaining animals, 2 are doves.)
Since in Case 1 we need the 1st animal to be a dove AND the 2nd animal to be a dove, we MULTIPLY the ...”

“Hi All,
We''re told that while working at their individual same constant rate, 24 machines can complete a certain production job in 10 hours when they all work together. However, on a certain day, due to minor malfunction, 8 of those machines were not operating for the first 2 hours. We''re ...”

“Hi All,
We''re told that Q is a positive integer that is divisible by BOTH 3 and 11. We''re asked which of the following MUST also divisible evenly into Q. This question can be approached in a couple of different ways, including by TESTing VALUES.
With these types of prompts, it often helps ...”

“Statement 1:
X = 20 miles per gallon.
Y = 40 miles per gallon.
Since the mixture of X and Y in the tank allows 200 miles to be covered using 8 gallons, we get:
X+Y = 200/8 = 25 miles per gallon.
To determine how X and Y must be combined to yield a rate of 25 miles per gallon, use ALLIGATION.
...”

“To make the math easier, we can replace the given values with rounder numbers, as follows:
Since Rebeca arrives 1 hour late when traveling at the lower speed and 1 hour early when traveling at the higher speed, the time at the lower speed must be 2 hours greater than the time at the higher ...”

“100(11 - √119)(11 + √119) = 100(11² - √119²) = 100(121-119) = 100*2 = 200.
When the correct answer is multiplied by 11+√119, the result must be as close as possible to 200.
11+√119 = 11 + (a bit less than 11) = a bit less than 22.
Since 9*22 = 198, multiplying 9.2 by a bit less than ...”

“Let x=12.
Since 1/4 of the people rise up, the number who rise up = (1/4)(12) = 3.
Since 3 people come back down, EVERYONE who rises up comes back down, with the result that all 12 people are practicing yoga on the ground.
How many people are now practicing yoga on the ground?
The correct ...”

“Statement combined:
Case 1: X = 53*2 = 106, with the result that X is divisible by 1, 2, 53, and 106
In this case, X has TWO prime factors:
2 and 53
Case 2: X = 53³, with the result that X is divisible by 1, 53, 53², and 53³
In this case, X has only ONE prime factor:
53
Since the number of ...”

“A fraction will yield a terminating decimal if -- when the fraction is fully reduced -- the prime-factorization of its denominator includes only 2''s and or 5''s.
Statement 1:
Let x = an odd multiple of 5.
Since the next largest odd multiples of 5 will be x+10 and x+20, we get:
p = x + (x+10) ...”

“A radius drawn to a tangent point yields a RIGHT ANGLE:
https://i.postimg.cc/Wq6BDNH7/two-triangles-and-semicircle-1.png
In the figure above:
Radius OT forms a right angle at tangent point T.
OA and OT are radii and thus are equal.
Since OA=OT, opposite angles OAT and ATO are equal.
We can ...”

“Total number of friendly numbers = total number of ways to arrange the 5 digits = 5! = 120.
There are 5 options for the first digit: 1, 2, 3, 4, or 5.
120/5 = 24.
Thus, the 120 friendly numbers are composed of five 24-number ranges, as follows:
The integers beginning with 1 constitute friendly ...”

“An integer is divisible by 4 if its last two digits form a multiple of 4.
Two-digit multiples of 4 with a units digit of 2:
12, 32, 52, 72, 92
Since the last two digits must be one of the options above, between 1 and 200 there are 10 integers that have a units digit of 2 and are divisible by 4:
...”

“Options D and E should appear as shown below:
P(exactly n times) = P(one way) * all possible ways.
Let R = rain and N = no rain.
Since P(R) = 20% = 2/10, P(N) = 80% = 8/10 = 2³/10.
P(one way):
One way to get exactly 2 days of rain is to have rain on the first 2 days but not on the ...”

“Hi All,
We''re told that during the 4 years that Mrs. Lopez owned her car, she found that her total car expenses were $18,000. Fuel and maintenance costs accounted for 1/3 of the total and depreciation accounted for 3/5 of the REMAINDER. The cost of insurance was 3 times the cost of financing, ...”

“Hi All,
We''re told that at Megalomania Industries, factory workers were paid $20 per hour in 1990 and $10 per hour in 2000 and the CEO of Megalomania Industries was paid $5 million per year in 1990 and $50 million per year in 2000. We''re asked for what percent greater was the percent increase ...”

“Hi All,
We''re told that a company’s 4 cars running 10 hrs a day consume 1200 liters of fuel in 10 days. In the next 6 days, the company will need to run 9 cars for 12 hrs each so it rents 5 more cars which consume 20% less fuel than the company’s four cars. We''re asked for the number of ...”

“The sides of an isosceles right triangle are in the following ratio:
x - x - x√2, where x and x constitute the base and height and x√2 is the hypotenuse.
Since the triangle has a base of x, a height of x, and an area of 16, we get:
(1/2)(x)(x) = 16
x² = 32
x = √32
Since XY is longer ...”

“Statement 1:
Time and rate are RECIPROCALS.
Since X and Y together take 2/3 as long as X alone, X and Y together work 3/2 as fast as X alone.
Thus, if X''s rate alone = 2 units per hour, then X and Y''s combined rate = (3/2)(2) = 3 units per hour, implying that Y''s rate alone = 3-2 = 1 unit ...”

“Since A and B must occupy adjacent positions, consider AB a single element in the arrangement.
The number of ways to arrange the 6 elements AB, C, D, E, F and G = 6! = 720.
In 1/2 of these arrangements, C will be to the LEFT of AB.
In the remaining 1/2 of these arrangements,C will be to the ...”

“Nice problem, Fabio!
Statement 1:
Case 1: a=4, b=1 and c=1, with the result that b+c≥2
In this case, abc = 4, so the answer to the question stem is YES.
Case 2: a=0, b=1 and c=1, with the result that b+c≥2
In this case, abc = 0, so the answer to the question stem is NO.
Since the answer ...”

“Hi mgec0424,
To start, a 520 is a decent initial CAT Score (the average Score on the Official GMAT hovers around 550 most years). Scoring 530 on your second CAT isn''t necessary a ''bad'' thing either - since it takes time to properly use what you''ve learn and adapt your approach to the overall ...”

“Statement 1:
If n=5, then the remainder when n is divided by 6 = 5/6 = 0 R5.
If n=10, then the remainder when n is divided by 6 = 10/6 = 1 R4.
Since different remainders are possible, INSUFFICIENT.
Statement 2:
Since n is a multiple of 12, n must also be a multiple of 6, with the result that ...”

“Statement 1: The product of the x-intercepts of line L and K is positive.
K has a negative x-intercept, L has a negative x-intercept, the product of the slopes is positive:
http://s4.postimage.org/ie5nbe78/lines_l_and_k_1.jpg
K has a positive x-intercept, L has a positive x-intercept, the ...”

“Statements combined:
Case 1: x=1 and y=1, with the result that x(y+5) = 6 and 6y²+41y+25 = 72
In this case, x is ODD, so the answer to the question stem is NO.
Case 2: x=2 and y=1, with the result that x(y+5) = 12 and 6y²+41y+25 = 72
In this case, x is EVEN, so the answer to the question ...”

“a+b+3 = ODD only if a and b are both odd or both even.
Question stem, rephrased:
Are a and b both odd or both even?
Statement 1:
ab = ODD implies that a and b are both odd.
Thus, the answer to the question stem is YES.
SUFFICIENT.
Statement 2:
a-b = EVEN implies that a and b are either ...”

“Hi All,
For Test Takers who know the Combination Formula, this question is a fairly straight-forward prompt. If you DON''T know the Combination Formula though, then here''s what it is and how to use it. Any time a prompt asks for "groups" or "combinations" of things, then the ...”

“Hi All,
We''re told that the sides of a right triangle are CONSECUTIVE EVEN INTEGERS, and the length of the LONGEST side is P. We''re asked which of the following equations could be used to find P. This question can be solved in a couple of different ways, including by TESTing VALUES.
To ...”

“Hi All,
The probability of pulling a heart out of a full deck of cards is 13/52 = 1/4, so the probability of NOT pulling a heart out of a full deck = 1 - 1/4 = 3/4.
The probability of pulling a heart on the THIRD try, and NOT pulling a heart on the first two tries is:
(3/4)(3/4)(1/4) = ...”

“Hi All,
We''re told that starting with 0, a mathematician labels every non-negative integer as one of five types: alpha, beta, gamma, delta, or epsilon, in that repeating order as the integers increase. For instance, the integer 8 is labeled delta. We''re asked for the label on an integer that ...”

“Alternate approach:
Case 1: VVCC, where the first two letters are vowels and the last 2 letters are consonants
Number of options for the first vowel = 4. (Any of the 4 vowels)
Number of options for the second vowel = 3. (Any of the 3 remaining vowels)
Number of options for the first consonant ...”

“Hi All,
We''re told that three digits have been removed from each of the following numbers and n = 25. We''re asked which of the numbers is equal to 3*2^(n-1).
To start, the fact that three digits have been removed from each answer is irrelevant. When a GMAT question presents information ...”

“Hi All,
We''re told that the organizers of a conference offered a certain number of simultaneous seminars with the intention that each seminar would be attended by 18 conference attendees. However, space limitations allowed only up to 15 conference attendees to participate in each of a number of ...”

“Hi All,
We''re told that at a school-wide athletic fair, five students won a combined total of 20 ribbons, each of the five students won AT LEAST one ribbon and NO two students won the SAME number of ribbons. We''re asked for the greatest number of ribbons that the student with the ...”

“Hi regor60,
I agree that this prompt is poorly-worded. The "intent" is to ask for every 4-letter arrangement that fits the given restrictions, INCLUDING "words" that do not appear in the dictionary (re: arrangements that are not actually words). GMAT question-writers are far ...”

“Hi All,
We''re told that in the coordinate plane, Line A has a slope of -1 and an x-intercept of 1 and Line B has a slope of 2 and a y-intercept of -2. The two lines intersect at the point (a,b). We''re asked for the sum a and b. When dealing with lines, it often helps to write the given ...”

“x = 10% gravel
y = 2% gravel.
z = the MIXTURE of x and y = 5% gravel.
To determine the required ratio of x to y, use ALLIGATION -- a very efficient way to handle MIXTURE PROBLEMS.
Step 1: Plot the 3 percentages on a number line, with the percentages for x and y on the ends and the ...”

“Hi benjemin28,
It''s worth noting that he Quant section of the GMAT is NOT a ''math test'' - it''s a ''critical thinking test'' that requires lots of little calculations as you work through it. Most GMAT questions are designed so that they can be solved in more than one way (and certain Tactics ...”

“Hi All,
The concept in these types of questions is based on the ''worst case scenario'' - to guarantee that something will happen, you have to focus on the ''extreme/longest'' way that it could happen. Here, we have 4 black socks, 3 gray socks and 2 orange socks. The question asks for the ...”

“Hi All,
We''re told that the original price of a certain TV set is discounted by X percent, the reduced price is then discounted by 2X percent and P is the original price of the TV set. We''re asked which of the following represents the price of the television set after the two successive ...”

“I received a PM requesting that I respond.
Premise:
Insurance removes from depositors any financial incentive to find out whether the bank that holds their money is secure against failure.
Conclusion:
The insurance is partly responsible for the high rate of bank failures.
To determine the ...”

“Every student is EITHER male OR female.
Every student is EITER older OR younger.
For an EITHER/OR problem, use a DOUBLE MATRIX to organize the data:
_______________M______F_______Total
older:
younger:
total:
Let total students = 100:
_______________M______F_______Total
...”

“Hi All,
We''re asked to choose the answer that is CLOSEST in value to (10^8-10^2)/(10^7-10^3). While you might be tempted to try lots of ''math steps'', if you consider how the answer choices are written, you can use a bit of estimation and logic to get to the correct answer without doing too ...”

“Hi All,
We''re told that a company produces baseball cards in EQUAL numbers of regular packs of 16 and deluxe packs of 30. On a certain day, the company produces 241 cards. We''re asked for the SMALLEST number of additional cards the company needs to produce in order to maintain its regular ...”

“Hi All,
We''re told that the probability of rain on any given day is 50%. We''re asked for the probability that it will rain on AT LEAST three days in a ROW during a five-day period. This question can be approached in a number of different ways; you might find it easiest to do a little math and ...”

“Hi All,
We''re told that Father John forms a choir from the church attendants. 30 people attend John''s church and the choir has 28 spots available, with one person as the lead singer. We''re asked for the number of different combinations for the choir. This question involves the Combination ...”

“Hi All,
We''re told that a scriptwriter has a particular series of fees for a script (based on the length of the script). The scriptwriter charges....
1) $4 for every standard script, which is 4 pages or shorter in length
2) 50 cents for every additional page
3) NO CHARGE for every 11th ...”

“Hi All,
We''re told that a paint crew gets a rush order to paint 80 houses in a new development. They paint the first Y houses at a rate of X houses per week. Realizing that they''ll be late at this rate, they bring in some more painters and paint the rest of the houses at the rate of 1.25X ...”

“Hi All,
We''re told that 2/3 of the roads from A to B are at least 5 miles long, and 1/4 of the roads from B to C are at least 5 miles long. We''re asked to randomly pick a road from A to B and then randomly pick a road from B to C and determine the probability that AT LEAST ONE of the roads you ...”

“Hi kyuhunl,
The degree to which you might find tutoring useful will depend greatly on the study materials that you''re currently using and how quickly you can learn (and properly practice) certain concepts and Tactics. Before I can offer you the specific advice that you’re looking for, it ...”

“Let y=0, implying that NONE of the 80 houses are painted at the original rate of x houses per week, with the result that ALL 80 houses are painted at the greater rate of (5/4)x houses per week.
The total time it takes them to paint all the houses under this scenario is what fraction of the time ...”

“Hi All,
We''re told that we have six marbles: 3 blue marbles, 2 red marbles, and one green marble - and that we are going to put them into three cups: a black cup, a white cup, and a purple cup. The only restriction is that the two red marbles CANNOT be in the same cup, meaning that we could put ...”

“Hi All,
We''re told that during a two-week period, the price of an ounce of silver INCREASED by 25 percent by the end of the first week and then DECREASED by 20 percent of this new price by the end of the second week. We''re asked, if the price of silver was X dollars per ounce at the beginning ...”

“Since J catches up to K, J and K travel the same distance.
Let t = J''s time.
Since K leaves 15 minutes earlier than J, K''s time = t+15.
Rate and time have a RECIPROCAL RELATIONSHIP.
Since K''s rate is 80% of J''s rate, the ratio of K''s rate to J''s rate = 8/10 = 4/5.
Thus, the ratio of ...”

“Hi All,
This question is essentially about working through the necessary arithmetic. Thankfully, the math itself isn''t that tough, but you do have to stay organized to make sure that you''re setting up the proper calculations.
We''re told that a typical dose of a drug is 2 cm^3 per 15 ...”

“Hi All,
The answer choices to this question provide a fantastic shortcut. With the two machines that we''re given, we know that...
Old Machine = 100 bolts/hour
New Machine = 150 bolts/hour
If they start at the same time, the two machines will create 250 bolts/hour
The question asks ...”

“Hi All,
We''re told that a lecture course consists of 595 students and that the students are to be divided into discussion sections, each with an EQUAL number of students. We''re asked which of the following CANNOT be the number of students in a discussion section. This question is really just ...”

“Hi All,
A number of the posts have provided elegant solutions to this question. The basic math behind this prompt is Arithmetic and Prime Factorization though, so if you don''t immediately "see" the elegant approach, you can still get to the answer....
We''re asked to find the ...”

“(students per section)(number of sections) = 595 students
number of sections = 595/(students per section).
The equation in blue indicates that 595 must be divisible by the number of students per section.
An integer is divisible by 3 only if its digit sum is a multiple of 3.
The digit sum of ...”

“Correct: The contractors demolished the building to keep it from falling.
Here, to keep is not an adjective modifying contractors but an ADVERB modifying demolished, expressing WHY the contractors DEMOLISHED the building.
Question: WHY did the contractors demolish the building?
Answer: TO KEEP it ...”

“Hi j_shreyans,
I''m a big fan of TESTing Values (Mitch''s explanation), but this question can also be solved with algebra….
We''re told that adding a new tower to an existing hospital allows fore 3 times the number of available beds that were there before the tower was built:
Just the ...”

“Hi All,
We''re told that a certain company has 18 equally qualified applicants for 4 open positions. We''re asked for the number of different groups of 4 applicants that can be chosen by the company to fill the positions if the order of selection does not matter. This question is a fairly ...”

“Hi All,
We''re told that when 12 marbles are added to a rectangular aquarium, the water in the aquarium rises 1 1/2 inches. We''re asked how many marbles must be added to the aquarium in total to raise the water 2 3/4 inches. This question is ultimately about ratios, so you can approach the math ...”

“Let the PRE-TOWER number of beds = the LCM of the denominators in the problem = 3*5 = 15.
Then the CURRENT number of beds = 3*15 = 45, implying that the number of beds in the NEW tower = 45-15 = 30.
Occupied beds = (1/3)15 + (1/5)30 = 11.
Non-occupied beds in the new tower = 30-11 = 19.
...”

“Hi ALL,
This question includes a ''conditional statement'' that effects how you''re supposed to handle each "step" in the math:
"for each additional day....., the total fine is EITHER increased by 30 cents OR doubled, whichever results in the LESSER AMOUNT."
Since ...”

“Hi All,
We''re told that Machines A and B, working together, take T minutes to complete a particular work. Machine A, working alone, takes 64 minutes more than T to complete the same work. Machine B, working alone, takes 25 minutes more than T to complete the same work. We''re asked for the ...”

“One more approach:
Since A+B together complete the job in t minutes:
Job = (A''s output in t minutes) + (B''s output in t minutes)
If A works alone for t minutes, A can then complete the rest of the job in 64 minutes.
In this case, the rest of the job = B''s output in t minutes.
Thus, A''s ...”

“A present perfect verb (has + VERBed or have + VERBed) expresses a PAST ACTION that affects the present.
Generally, the usage of a present perfect verb implies that the subject of the verb still exists.
Incorrect:
The dinosaurs have evolved over time.
The sentence above is illogical because the ...”

“Always keep your eye on the answer choices.
Since A''s time alone (t+64) is greater than B''s time alone (t+25), the ratio of A''s time alone to B''s time alone must be GREATER THAN 1.
Eliminate A, C and D.
Since the ratio of A''s time to B''s time = (t+64)/(t+25), option E implies the ...”

“First day:
Total fine = 10.
For each additional day, the total fine either increases by 30 or doubles -- whichever results in a lesser amount.
Second day:
Adding 30 cents to the 1-day fine, we get 10+30 = 40.
Doubling the 1-day fine, we get 2*10 = 20.
Total fine = lesser amount = 20. ...”

“Hi All,
We''re told that when 12 marbles are added to a rectangular aquarium, the water in the aquarium rises 1 1/2 inches. We''re asked how many marbles must be added to the aquarium in total to raise the water 2 3/4 inches. This question is ultimately about ratios, so you can approach the math ...”

“Hi All,
We''re told that Barbara invests $2400 in the National Bank at 5%. We''re asked how much additional money she must invest at 8% so that the TOTAL annual income will be equal to 6% of her entire investment. This question can be approached in a number of different ways, including by ...”

“Clearly, neither statement alone is sufficient.
Statements combined:
Case 1: No one is a member of both clubs
Total males = 15+10 = 25.
Total members = 16+20 = 36.
Resulting fraction:
(total males)/(total members) = 25/36.
Case 2: Every male in the music club is also in the drama ...”

“Let d = the number of miles between A and B.
Since Georgia travels the entire d miles between A and B and then an additional 60 miles back toward A, Georgia''s distance = d+60.
Since Frank travels all but 60 of the d miles between A and B, Frank''s distance = d-60.
Since Georgia''s travels 3/2 ...”

“Hi All,
We''re told that a in the first M games of a team´s season, the ratio of the team´s wins to its losses was 1:2 and in the subsequent N games, the ratio of the team´s wins to losses was 1:3. If M:N = 4:5, we''re asked for the ratio of the team´s wins to its losses for all M+N games. ...”

“Hi All,
We''re told that a major airplane manufacturer announced the sale of 150 small airliners at $125 million each, 75 medium sized airliners at $175 million each, and 60 large airliners at $220 million each. We''re asked for the percentage of the company''s income that came from large and ...”

“Let S = the entire season (in other words, the mixture of M and N).
Alligation can be performed only with percentages or fractions.
Step 1: Convert the ratios to FRACTIONS.
M:
Since win:losses = 1:2, and 1+2=3, wins/total = 1/3.
N:
Since wins:losses = 1:3, and 1+3=4, wins/total = 1/4.
...”

“Since Stacy and Katie travel toward each other, they WORK TOGETHER to cover the 27 miles between them.
Since Stacy is 1/4 faster than Katie, for every 4 miles that Katie travels, the distance traveled by Stacy = 4 + (1/4)(4) = 5 miles.
Thus, of every 9 miles traveled when Stacy and Katie work ...”

“Hi All,
We''re told that a miniature roulette wheel is divided into 10 equal sectors, each bearing a distinct integer from 1 to 10, inclusive. Each time the wheel is spun, a ball randomly determines the winning sector by settling in that sector and the wheel is spun three times. We''re asked for ...”

“Hi All,
We''re told that the total cost of a vacation was divided equally among 3 people and that if the total cost of the vacation had been divided equally among 4 people, then the cost per person would have been $50 LESS. We''re asked for the total cost of the vacation. This question can be ...”

“Hi All,
We''re told that the price of a shirt that costs K dollars is increased by 30%, then that price is increased by an additional 50%. We''re asked for the final price of the shirt in dollars, in terms of K. This question can be solved in a number of different ways - including Algebraically ...”

“Hi markymarc89,
That''s OUTSTANDING news! With a 740/Q50, you can comfortably apply to ANY Business Schools that interest you. Since you''ve already taken care of your applications, there''s not much else to do at this point (unless you want to consider applying to any additional Schools). We''re ...”

“Since Mary is behind Kate by 250 meters -- half the circumference of the track -- she will catch up to Mary when she has traveled 250 meters more than Kate.
To catch up to Kate a second time, Mary must then travel one more lap than Kate -- in other words, 500 meters more than Kate.
Implication:
...”

“Hi All,
We''re told that of the votes cast on a certain proposal, 80 MORE were in favor of the proposal than were against it and the number of votes against the proposal was 40 percent of the TOTAL vote. We''re asked for the total number of votes cast? (Each vote cast was either in favor of the ...”

“Hi All,
We''re asked which of the following is closest to the value of (2^23)(5^26). If you don''t immediately see the ''Exponent'' rules that apply to this question, then you can still solve it with some basic Arithmetic and logic.
To start, when you multiply a bunch of numbers together, the ...”

“Hi All,
This question can be solved with a bit of ''brute force'' arithmetic, but the speed with which you solve it will likely depend on how quickly you can write everything down and how you do the work.
We''re asked to find the three positive integers, whose squares add up to 75. To start, ...”

“|x-1| = the distance between x and 1.
|x+1| = the distance between x and -1.
-1<--|x+1|-->x<--|x-1|-->1
Here, since the total distance between the two endpoints is 2, the sum of the 2 distances in red is 2.
If x is any value between the two endpoints, then the sum of the two ...”

“were + VERBing is the plural form of the PAST PROGRESSIVE tense (also known as the past continuous tense).
The past progressive tenses serve to express actions that happen CONTINUOUSLY FOR A LIMITED DURATION OF TIME.
OA: While businesses were expanding their production, unsold goods were piling ...”

“To minimize B''s time, we must maximize A''s time.
Since each machine can work for at most 8 hours, let A''s time = 8 hours.
Since A''s rate = 9000 pencils per hour, the number of pencils produced by A in 8 hours = rt = 9000*8 = 72,000.
Remaining pencils = 100,000 - 72,000, = 28,000.
Since ...”

“Hi All,
We''re told that if Sam were TWICE as old as he is, then he would be 40 years older than Jim and that Jim is currently 10 years YOUNGER than Sam. We''re asked for Sam''s current age. This question can be solved in a couple of different ways, including by TESTing THE ANSWERS. Since the ...”

“Hi All,
This is an example of a ''Symbolism'' question - the prompt ''makes up'' a math symbol, tells you what it means, then asks you to perform a calculation using it. When dealing with these types of symbols, it often helps to jot down a few examples, so that you understand the work that will ...”

“Hi All,
We''re told that on a game show, a contestant is given three keys, each which opens exactly one of three identical boxes. The first box contains $1, the second $100, and the third $1000. The contestant assigns each key to one of the boxes and wins the amount of money contained in any box ...”

“Test the THRESHOLD.
In the question stem, the threshold is 40 CHAIRS.
The total cost of 40 chairs = 40*50 = 2000.
Statement 1: The total price of the desks and chairs is 5,000.
It is possible that 40 chairs are purchased (at a total cost of $2000) or that MORE CHAIRS are purchased.
...”

“Monthly food expense except in January:
Let y=$2.
Discount in January:
Let x=100%.
Since $2 is spent each month for 8 of the first 9 months, the total spent during these 8 months = 8*2 = 16.
Since food purchases are 100% lower in January -- implying that they are FREE in January -- the amount ...”

“Alternate approach:
To determine the ratio of birds to dogs, plug in a TEST VALUE for the total number of pets.
Let b = the number of birds and d = the number of dogs.
Let the test value for the total number of pets = the LCM of 3 and 5 = 15.
Since 1/5 are birds, b = 1/5 * 15 = 3.
Since 1/3 ...”

“Hi All,
This question is essentially a "Work Formula" question, since it has 2 people working on a task together. You have to be really careful with the details though, since the two given rates are NOT for the same task....
We''re told that Danny can finish off the jar of candies in ...”

“Hi All,
We''re told that a bus completed first 50 miles of a 120-mile trip at an average speed of 20 mph. Then it took a halt of 30 minutes and completed half of the remaining journey at an average speed of 35 mph. We''re asked for the average speed it should complete the REMAINING part of the ...”

“Statement 1:
If d=72, then t = d/r = 72/72 = 1 hour.
If d=144, then t = 144/72 = 2 hours.
Since the time can be different values, INSUFFICIENT.
Statement 2:
Time and rate have a RECIPROCAL RELATIONSHIP:
If the time is cut in HALF, then the rate DOUBLES.
If the time DOUBLES, then the ...”

“Let G = the gas in the tank and C = the capacity of the tank.
Statement 1:
G - (1/2)G = (1/3)C
No way to solve for G.
INSUFFICENT.
Statement 2:
G + 0.75 = C
No way to solve for G.
INSUFFICIENT.
Statements combined:
Since we have two variables (G and C) and two distinct linear ...”

“Hi All,
We''re told that three children - John, Paul, and Ringo, are playing a game. Each child will choose either the number 1 or the number 2. When one child chooses a number DIFFERENT from those of the other two children, he is declared the winner. If all of the children choose the SAME ...”

“Hi All,
We''re told that a will was written such that an estate would be divided among FIVE beneficiaries with the remainder donated to charity, with one stipulation in the will is that no one beneficiary can receive an amount within 20% of another''s amount. One of the beneficiaries received ...”

“Hi All,
This question can be solved with fairly straight-forward Algebra (as some of the other solutions have proven). It can also be solved by TESTing THE ANSWERS and a bit of logic.
We''re told that the total weight of Jake and his sister is 278 pounds. We''re also told that if Jake lost 8 ...”

“Hi JOHNMC,
Raising a 430 to the point that you could consistently score 700+ will likely require at least another 3 months of consistent, guided study - and you''ll have to make significant improvements to how you handle BOTH the Quant and Verbal sections. Thankfully, the GMAT is a consistent, ...”

“Here, the value in red is the sum of Jake''s weight and TWICE the sister''s weight:
187 + 2(89.5) = 366.
But the prompt gives an integer value for the sum of Jake''s weight and the sister''s ACTUAL weight -- a constraint that forces Jake''s weight to be an even integer.”

“The sum of Jake''s weight and his sister''s weight is an INTEGER VALUE.
The answer choices indicate that Jake''s weight is an INTEGER VALUE.
Implication:
The sister''s weight must also be an integer value.
Thus, the value in red -- 89.5 -- is not a valid option for the sister''s weight.
Given ...”

“Let the river''s rate = 1 mph and the boat''s rate = 5 mph.
When the boat travels DOWNRIVER, the boat and the river WORK TOGETHER, so we ADD their rates:
5+1 = 6 mph.
When the boat travels UPRIVER, the boat and the river COMPETE, so we SUBTRACT their rates:
5-1 = 4 mph.
Rate and time have ...”

“ALWAYS KEEP YOUR EYE ON THE ANSWER CHOICES.
If Jake loses 8 pounds, he will weigh twice as much as his sister.
j-8 = 2s
j = 2s + 8 = even + even = even.
Since Jake''s weight must be an EVEN VALUE, the correct answer is E.”

“Hi All,
We''re told that Mixture A is 15 percent alcohol and mixture B is 50 percent alcohol and when a certain amount of each is poured together to create a 4-gallon mixture, the result contains 30 percent alcohol. We''re asked approximately how many gallons of mixture A are in the mixture. ...”

“Hi All,
We''re asked which of the 5 answers is the equation for a line that is perpendicular to line K in the figure above. This question is based on line/graphing rules.
To start, a PERPENDICULAR line is one that has an "opposite inverse" slope (sometime called a "negative ...”

“Hi All,
We''re told that a certain concrete mixture contains gravel, water, and sand in a ratio of 1 to 3 to 5 by weight. We''re asked for the number of pounds of gravel that would be needed to produce 72 pounds of the mixture. This math behind this question can be approached in a number of ...”

“Hi JOHNMC,
Since it sounds like you''re just beginning your studies, then it would be a good idea to take a FULL-LENGTH practice CAT Test; you can take 2 for free at www.mba.com (and they come with some additional practice materials). If you want to do a little studying first, so that you can ...”

“Let S = Sara''s age.
Sum of the ages = 2+4+5+8+10+13+S = 42+S.
Statement 1:
Since the average age is equal to an INTEGER -- the fourth largest age -- we get:
Sum of the ages = (number of ages)(average age) = (7)(INTEGER) = multiple of 7.
The blue expression and the red expression each ...”

“We can PLUG IN THE ANSWERS, which represent the value of m.
When the correct answer is plugged in, the median will be equal to the range.
Note:
When the prompt includes the phrase which of the following, the correct answer is likely to be D or E.
E: m=3
Resulting set: 1, 1, 2, 2, m=3, 3, 3, ...”

“Hi All,
We''re told that in a 200 member association consisting of men and women, exactly 20% of men and exactly 25 % women are homeowners. We''re asked for the LEAST number of members who are homeowners. This question is built around a couple of Number Properties - and to MINIMIZE the number of ...”

“Hi All,
We''re told that Roger wants to arrange three of his five books on his bookshelf, but two of the five books are duplicates and cannot both be selected. We''re asked for the number different ways that Roger can arrange his books. The wording of this question is a bit ''quirky'', but the ...”

“Let X=8 and Y=4.
Henry eats X scones in X percent of the time it takes Rachel to eat Y scones.
Since Henry eats X=8 scones in 8% of the time it takes Rachel to eat Y=4 scones -- 10 minutes, according to the prompt -- the time for Henry to eat 8 scones = 8% of 10 minutes = (8/100)(10) = 4/5 ...”

“Consider the following equation:
7x + 5y = 70.
If x and y are nonnegative integers, the following solutions are possible:
x=10, y=0
x=5, y=7
x=0, y=14.
Notice the following:
The value of x changes in increments of 5 (the coefficient for y).
The value of y changes in increments of ...”

“x is directly proportional to y implies the following:
x/y = k.
x = ky.
In each case, k is a CONSTANT.
The cost of a square slab is proportional to its thickness and also proportional to the square of its length.
Thus:
c = k * T * L².
What is the cost of a square slab that is 3 meters ...”

“species may be singular or plural.
Passage:
Planting trees primarily from the species that turns out to have the best record of survival will assure downtown Thomasville of an abundant tree population 20 years from now.
Here, the verb attributed to species is turns.
Since turns is singular, ...”

“Hi yenngoc2409,
I''m going to give you a hint so that you can adjust your calculation. Your result is too high because you have not accounted for the ''duplicate'' entries. For example, if the 4 cards were 2233, then you have an option that has two pair... but you also have two of the options ...”

“(number of machines)(number of hours) = number of toys that are produced.
In the prompt above, the blue values are THE SAME.
Implication:
2 machines take h+3 hours to produce the same number of toys as 3 machines in 2 hours:
2(h+3) = 3h
2h + 6 = 3h
6 = h.
Since 3 machines produce 360 toys ...”

“Hi All,
We''re told that the number of defects in the first five cars to come through a new production line are 9, 7, 10, 4, and 6, respectively and that the sixth car through the production line has either 3, 7, or 12 defects. We''re asked which of the following three values does the MEAN ...”

“Hi amg0410,
To start, a 540 is a solid initial CAT Score (the average Score on the Official GMAT hovers around 550 most years). Before I can offer you the specific advice that you’re looking for, it would help if you could provide a bit more information on your timeline and your goals:
...”

“Hi All,
We''re told that Carlos runs a lap around the track in X SECONDS. His second lap is five SECONDS SLOWER than the first lap, but the third lap is two SECONDS FASTER than the first lap. We''re asked for Carlos’s average (arithmetic mean) number of MINUTES per LAP, in terms of X. This ...”

“Hi All,
We''re told that Patricia builds two triangles, EACH with 30 feet of wood. The first triangle ABC is built to maximize the LENGTH of the BASE side. The second triangle DEF is built to maximize the AREA of the triangle. In addition, the lengths of all line segments are INTEGERS. We''re ...”

“Hi mbaorbust3,
I''m sorry to hear that Test Day did not go as well as hoped. Business Schools generally don''t care if you retake the GMAT though, so you have little to worry about in that regard. Before we can discuss how you might improve this next phase of your studies, it would help if you ...”

“Let x = 5 seconds for the first lap, implying 10 seconds for the second lap, 3 seconds for the third lap, and a total of 18 seconds for all 3 laps.
(18 seconds)/(3 laps) = (6 seconds)/(1 lap) = 1/10 minute per lap.
The correct answer must yield a value of 1/10 when x=5.
Only D works:
(x+1)/60 ...”

“The information in red is irrelevant.
Only the following facts matter:
Ross travels onward at a rate of 1 mile every 12 minutes.
He travels home for twice the onward distance at half the onward speed.
Onward speed = 1 mile per 12 minutes = 5 miles per 60 minutes = 5 mph.
Let the onward ...”

“Hi All,
We''re told that In a certain bathtub, both the hot and cold water fixtures leak. The cold water leak alone would fill an empty bucket in C hours, and the hot water leak alone will fill the same bucket in H hours, where C < H. If both fixtures began to leak at the same time into the ...”

“Hi All,
We''re told that Profit = Revenue - Costs and that costs will remain constant from 2007 to 2008, while revenues INCREASE by 10% in that same period. We''re asked for the percent increase in PROFITS from 2007 to 2008. This question comes down to some Arithmetic and the Percentage Change ...”

“Hi All,
We''re told that a class consists of 12 girls and 20 boys. One-quarter of the girls in the class have blue eyes. We''re asked for the probability that a randomly selected child is a girl who does NOT have blue eyes. This question comes down to some basic organization and Arithmetic.
...”

“Hi szhao,
To start, a 730 initial Score is an outstanding performance (the average Score on the Official GMAT hovers around 550 most years), so you''re clearly a strong critical thinker. Focusing on the GMAT now - years before you will actually need your Score - is also a smart choice.
Since ...”

“The original total cost of the 10 pieces of fruit = 10*56 = 560.
According to the answers, after 1, 2, 3, 4, or 5 oranges are removed -- so that 9, 8, 7, 6, or 5 pieces of fruit remain -- the average cost per piece decreases to 52.
Since the original total cost is a multiple of 10, and the price ...”

“Hi All,
We''re told that the price of a phone call consists of a standard connection fee, which is constant, plus a per minute charge, a 10-minute call costs $2.90 and a 16-minute call costs $4.40. We''re asked for the cost of a 13-minute call. This question can be solved in a couple of ...”

“Hi All,
This question can be solved by TESTing VALUES (and taking a few notes).
We''re told that X people won a medal for water competitions. Of those X people, 1/3 won a medal for swimming; of those who won a medal for SWIMMING, 1/4 also won a medal for diving.
The common denominator ...”

“Let x = the product of the two denominators in the prompt = 3*4 = 12.
Since 1/3 won a medal for swimming, the number who won a medal for swimming = (1/3)(12) = 4.
Since 1/4 of the medal winners for swimming also won a medal for diving, the number who won both a medal for swimming and a medal for ...”

“Hi All,
This question is essentially about arithmetic and taking the proper notes. You can go about the math steps in a couple of different ways though - depending on how you ''see'' this information.
From the prompt, we know that the farmer spent $35 on feed.... 40% of his money on chicken ...”

“Hi All,
"Range" questions come from the broader category of statistics, which will show up a couple of times on the GMAT. The range of a group of numbers is the difference between the largest number and the smallest number.
Based on the original number of shares, the range would ...”

“Hi All,
This question is a standard "Work Formula" question. When you have 2 entities sharing a task, you can use the following formula to figure out how long it takes for the 2 entities to complete the task together.
Work = (A)(B)/(A+B) where A and B are the individual times ...”

“Hi All,
We''re told that the architects of a certain type of building estimate construction costs to be $2.0 million per floor for each of the first 5 floors, $2.5 million per floor for each of the next 3 floors, and $3.5 million per floor for any additional floors. We''re asked what the ...”

“Given two sides of a triangle, the greatest possible area will be achieved if the two sides form a RIGHT ANGLE and serve as the triangle''s base and height.
For the problem above, I posted an illustrated solution here:
...”

“When the SAME DISTANCE is traveled at two different speeds, the average speed for the entire trip will be CLOSER TO THE LOWER SPEED than to the higher speed.
The reason:
The portion traveled at the lower speed takes LONGER.
Since more time is spent at the lower speed than at the higher speed, the ...”

“Hi All,
This question can be solved by TESTing THE ANSWERS. This is essentially a rate question, but the rate (and the time spent at that rate) changes depending on what time Rachel begins typing.
Based on the information in the prompt, we know that if Rachel begins typing at 3pm, then she ...”

“Hi All,
We''re told that in the first round of the elections, the only two candidates got exactly the SAME number of votes and during the second round, 15,000 votes switched from the first candidate to the second one. We''re also told that the total number of votes remained the same in both ...”

“Statement 1: The numbers of pens, pencils, and pads that each staff member received were in the ratio 2:3:4, respectively.
Since 2+3+4 = 9, the total number of pens + pencils + pads must be a multiple of 9.
No way to determine the exact number of staff members.
INSUFFICIENT.
Statement 2: ...”

“Both of the following are viable:
Vehicles powered by natural gas emit less of certain pollutants than those burning gasoline or diesel fuel.
Vehicles powered by ndatural gas emit less of certain pollutants than do those burning gasoline or diesel fuel.
The inclusion of do is optional.
With or ...”

“What is the value of n-m?
(m,0) and (n,0) are the two points where y=0 and the graph intersects the x-axis.
Thus, m and n are the x-intercepts of the graph.
Since m < n, n-m > 0.
Question rephrased: What is the positive difference between the x-intercepts?
Statement 1: 4b = a²-4
Test ...”

“Hi All,
We''re asked for the value of 25*8÷50÷2. This question involves rules called "Order of Operations", but as long as you know those rules, the work here isn''t too difficult.
In Order of Operations, both multiplication and division are on the same ''level'' (meaning that you ...”

“Hi Linda,
Training to score at a high level on the GMAT often requires more than just ''weekend study'', so if you can put in a little study time during the week (even if it''s just an hour a day), then that would likely help you a great deal. As it stands, with a 580, you''re actually closer to ...”

“Hi All,
We''re told that the main ingredient in a certain prescription drug capsule cost $500 per kilogram. If each capsule contains 600 milligrams of ingredient, what is the cost of the ingredient in a capsule? (1 kilogram = 10^6 milligrams). This is a ''unit conversion'' question and comes ...”

“percent may serve as a NOUN.
Of the students in the class, eighty percent passed the test.
Here, eighty percent is a NOUN serving as the subject of passed.
twice is a MODIFIER.
It cannot serve as the subject of a sentence.
Of the students in the class, twice passed the test.
The sentence ...”

“Hi VJesus12,
We''re told that after her birthday, Fiona had D dollars in gift money. She spent 3/5 of this on an electric skateboard, then she spent 1/3 of what WAS LEFT on a movie passcard, and then finally put the last $80 in the bank. Assuming she made no other purchases with that money, ...”

“Hi VJesus12,
This question can be solved with a bit of general graphing (you do not need to be hyper-accurate with your drawing to get the correct answer).
To start, we''re told that in the coordinate geometry plane, Point A is the midpoint between points (5,8) and (-3, -2). Draw those two ...”

“Hi VJesus12,
We''re told that in the figure above, an EQUILATERAL triangle is inscribed in a circle and the arc bounded by adjacent corners of the triangle is between 4π and 6π long. We''re asked which of the following COULD be the diameter of the circle. As scary as this question might look, ...”

“Consider the following equation:
5x + 7y = 70.
If x and y are nonnegative integers, the following solutions are possible:
x=0, y=10
x=7, y=5
x=14, y=0.
Notice the following:
The value of x changes in increments of 7 (the coefficient for y).
The value of y changes in increments of 5 (the ...”

“The ratio of milk and water in a mixture is 2:1,
Let milk = 2 liters and water = 1 liter.
Some quantity of water is added to the mixture to make the ratio of milk and water in the new mixture 1:2.
Since the resulting amount of water must be double the original 2 liters of milk, the resulting ...”

“Let the 7 cars be A, B, C, D, P, Q and S.
Since P and Q must occupy adjacent positions, consider PQ a single element in the arrangement.
The number of ways to arrange the 6 elements A, B, C, D, PQ and S = 6! = 720.
In 1/2 of these arrangements, S will be to the LEFT of PQ.
In the ...”

“Let:
W = the total number of white marbles.
E = the total number of even marbles.
WE = the total number of white even marbles.
Statement 1:
Thus, WE = 0.
No way to determine the value of W or E.
INSUFFICIENT.
Statement 2:
Implication:
W-E = (0.2)(25) = 5.
Case 1: W=10, E=5, WE=0
...”

“Statement 2: Brittany always leaves the hotel at exactly 5.30pm.
To see the situation more clearly, plug in a value for the distance between the hotel and the office.
Let the distance = 6 miles.
Since Allison takes 1 hour -- from 5 to 6pm -- to travel the entire distance, Alison''s rate = d/t = ...”

“Hi jain2016,
Since we have the probabilities of each person winning a game, we can ''map out'' the 3 situations in which 2 of them win and 1 of them loses:
A wins, B wins, C loses = (1/5)(3/8)(5/7) = 15/240
A wins, B loses, C wins = (1/5)(5/8)(2/7) = 10/240
A loses, B wins, C wins = ...”

“Hi All,
We''re told that Y = 2 + 2K and Y ≠ 0. We''re asked for the value of 1/Y + 1/Y + 1/Y + 1/Y. This question can be solved in a number of different ways, including by TESTing VALUES. Since we''re adding four fractions with the SAME denominator, we can just use some basic Arithmetic and ...”

“It is possible for back-to-back modifiers joined solely by a comma to have the same referent.
Three examples:
http://www.beatthegmat.com/the-hognose-snake-puts-on-an-impressive-bluff-t93558.html
http://www.beatthegmat.com/parallelism-issue-t96011.html
...”

“The usage of the term arrangements is misleading. The prompt seems intended to ask the following:
The first player selected can be paired with any of the 5 other players.
Thus, the number of options for the first player selected = 5.
At this point, 4 players remain.
The next player ...”

“The determine the percent decrease, we need to know the RATIO between the remaining amount of sugar after cookie-making and the original amount of sugar.
Statement 1:
Case 1: Remaining sugar after cookie-making = 10 pounds
Since the remaimning amount of sugar would need to increase by 30% to ...”

“Statement 1: The trip from Townsend to Smallville took 50% longer than the trip from Smallville to Townsend.
Case 1: Distance between Townsend and Smallville = 80 miles
Time to travel from Townsend to Smallville at a speed of 40 mph = 80/40 = 2 hours.
Time to travel from Smallville to Townsend = ...”

“Let x = the number of 100-point labs and y = the number of 85-point labs.
Question stem, rephrased:
What is the value of x?
Statement 1:
100x + 85y = 1140
20x + 17y = 228
The value in blue implies the following:
Since 20x will have a units digit of 0, 17y must have a UNITS DIGIT OF 8.
...”

“Alternate approach:
Since an absolute value cannot be negative -- implying that the right side of the equation must be NONNEGATIVE -- we know that x≥0.
If x²-6=x, we get:
x²-x-6=0
(x-3)(x+2) = 0
Only the factor in green implies a nonnegative option for x:
x-3=0
x=3.
The correct ...”

“The usage of number implies that we should consider NON-INTEGER values.
Both statements are satisfied by z=18.1 and z=19.1
Since the units digit of z can be different values, the two statements combinecd are INSUFFICIENT.
The correct answer is E.”

“Hi All,
Since the answers to the question are all numbers, we can use the answers ''against'' the prompt and TEST THE ANSWERS. Here''s how… Let''s start with Answer B.
Answer B: 36 boards
IF the number of boards was 36, then the 20th board from the top would be the 17th board from ...”

“Hi All,
We''re told that in a 200 member association consisting of men and women, exactly 20% of men and exactly 25 % women are homeowners. We''re asked for the LEAST number of members who are homeowners. This question is built around a couple of Number Properties - and to MINIMIZE the number of ...”

“Hi All,
We''re told that a department store receives a shipment of 1,000 shirts, for which it pays $9,000. The store sells the shirts at a price 80 percent above cost for one month, after which it reduces the price of the shirts to 20 percent above cost. The store sells 75 percent of the shirts ...”

“Any BAG taken on the subway IS subject to search by the police.
Any BAGS taken on the subway ARE subject to search by the police.
In each of these sentences, any is a MODIFIER describing the subject in blue.
In the first sentence, the verb (is) is SINGULAR to match the singular subject in blue.
...”

“Statement 1:
No information about Charlie or Daryl.
INSUFFICIENT.
Statement 2:
For every 2 home run hits made by Charlie and Daryl combined, Brady made 4 home run hits, implying that Brady made 4 of every 6 home run hits:
4/6 = 2/3.
SUFFICIENT.
The correct answer is B.”

“Downhill speed - uphill speed = (x+10) - (x-8) = 18.
Implication:
The downhill speed is 18 mps greater than the uphill speed.
We can PLUG IN THE ANSWERS, which represent the downhill speed.
Since the downhill speed is 18 mps greater than the uphill speed, the correct answer must be GREATER ...”

“Hi All,
We''re told that it takes Jacob X hours to complete a project and it takes Mike Y hours to complete the same project. We''re asked for the number of hours it would take them to complete the project if they worked together. This is a great ''concept'' question; if you recognize the ...”

“Hi All,
We''re told that the employees of Smith Enterprises received wage increases ranging from 30 cents to 87.5 cents per hour. We''re asked for the MAXIMUM wage increase for a 40-hour week. This question comes down to some basic arithmetic (but you might find it faster to do your math in a ...”

“Hi All,
We''re told that of the paintings that a certain artist created last year, the number of paintings that were UNFRAMED was 5 times the number of paintings that were FRAMED and 48 percent of the UNFRAMED paintings and 30 percent of the FRAMED paintings were SOLD. We''re asked for the ...”

“Hi All,
We''re told that BEFORE expansion, a zoo had 343 birds in 7 cages and AFTER the expansion was complete, there were 719 birds in 11 cages. We''re asked for the approximate percent increase in the average number of birds per cage. This question is based around a couple of standard math ...”

“Hi All,
We''re told that Scott takes a trip and drives 6 hours from Town X to Town Z at a rate of 50 miles per hour. On his way back, Scott drives 75 miles per hour and stops in Town Y which is MIDWAY between Town X and Town Z. We''re asked for the number of HOURS Scott takes to drive from Town ...”

“Hi All,
The information in the prompt include a variety of nice ''round'' numbers, so it''s likely that the number of calculators in the shipment is also a round number AND divides evenly into 300. Only two of the answers ''fit'' that idea - 25 and 30, so let''s TEST THE ANSWERS and see if ...”

“Statement 1:
To MINIMIZE the number of coins so that a sum of 170 cents is yielded by at most 8 coins, we must MAXIMIZE the number of quarters.
Since 7*25 = 175 cents, the number of quarters must be less than 7.
170 cents will be yielded by 6 quarters (totaling 150 cents) and 2 dimes (totaling 20 ...”

“Hi All,
We''re told that Fred has a jarful of nickels, dimes, and quarters, in the ratio of 2:5:10, respectively and the total value of these coins is $15.50. We''re asked for the number of DIMES in Fred’s jar. This question is based on ratio rules - and ratios are all about multiples - so you ...”

“Hi All,
We''re asked for the mathematical equivalent of the following formula:
$$R=\frac{\frac{24F}{N}}{P+\frac{A}{12}}$$
While the prompt (and the answers) might look ''complex'', the work involved is based on a simple math premise (common denominators), so as long as you are thorough ...”

“Hi All,
We''re asked for the largest value of N for which 10^N is a factor of 50! This question comes down to ''prime factorization'' and requires a degree of thoroughness on your part (to make sure that you find all of the 10s in 50!)
To start, 50! = (50)(49)(48)(47)(46)(45).....(3)(2)(1), ...”

“Hi All,
We''re told that a retailer sells pashminas at a ten percent discount, a pashmina COST him $75 and he wants to make a profit of no less than twenty percent on the COST (after the discount). We''re asked for the minimum tag price he needs to put on a pashmina.
To start, this question ...”

“Hi Linda,
Many Test Takers spend 3 months (or more) of consistent study time before they hit their ''peak'' scores, so you shouldn''t feel too down about this performance if you studied for just 6 weeks (and primarily just on the weekends). Thankfully, the GMAT is a consistent, predictable Exam, ...”

“Let the tank = 36 gallons.
Since the first pipe takes 3 hours to fill 1/2 the tank -- and (1/2)(36) = 18 gallons -- the rate for the first pipe = w/t =18/3 = 6 gallons per hour.
Since the second pipe takes 6 hours to fill 2/3 of the tank -- and (2/3)(36) = 24 gallons -- the rate for the second ...”

“Hi All,
When it comes to maximizing or minimizing a value in a group of numbers, you have to think about what the other numbers would need to be to accomplish your goal.
Here, we have a group of 15 DISTINCT (meaning DIFFERENT) integers with a median of 25 and a RANGE of 25. That range will ...”

“Hi All,
We''re told that a certain punch contains grape juice, orange juice, and pineapple juice and no other ingredients in a ratio of 2:3:7 respectively and a bowl contains 156 total ounces of this punch. We''re asked for the number of ounces of grape juice in the punch. This question can be ...”

“Strategy:
Try to show that four of the answer choices do NOT have to be positive.
Case 1: x=1 and y=1
In this case, A, B and D are not positive.
Eliminate A, B and D.
Case 2: x=1 and y=2
In this case, C is not positive.
Eliminate C.
The correct answer is E.”

“Hi All,
We''re told that the SUM of the weekly salaries of 5 employees is $3,250 and that each of the 5 salaries is to increase by 10 percent. We''re asked for the AVERAGE increase in weekly salary per employee.
This question ultimately comes down to working through some arithmetic, but ...”

“Hi LDCross,
For free math practice and help, I recommend that you set up an account at Khan Academy (www.khanacademy.org). The site is completely free and makes the learning a bit more fun and ''game-like'' (as opposed to the dry academic approach taken by most books). While the site is vast, ...”

“Total amount of feed = (number of chickens)(number of days).
The number of chickens is INVERSELY PROPORTIONAL to the number of days.
If the number of chickens DOUBLES, then the feed will last for 1/2 the number of days.
If the number of chickens TRIPLES, then the feed will last for 1/3 the ...”

“Hi All,
We''re told that a plane traveled K miles in its first 96 minutes of flight time and it completed the remaining 300 miles of the trip in T minutes. We''re asked for the average speed of the plane, in miles per hour, for the entire trip. This question can be solved by TESTing VALUES.
...”

“Hi All,
While an Algebra approach (using the "weighted average" formula) would work nicely on this prompt, you can also answer it rather quickly by TESTing THE ANSWERS and using a bit of logic. Here, we''re going to mix 400 ounces of a 6% acid solution with X ounces of a 12% acid ...”

“Hi All,
This is an example of a Work Formula question. Any time you have two entities (people, machines, water pumps, etc.) working on a job together, you can use the following formula:
(AB)/(A+B) = Total time to do the job together
Here, we''re told that the total time = 4 hours and ...”

“Hi All,
We''re told that two trees have a combined height of 60 feet and the taller tree is X times the height of the shorter tree. We''re asked to find the height of the shorter tree in terms of X. This question can be approached in a couple of different ways, including by TESTing VALUES.
IF ...”

“Let J = the number of hours that John works.
Since John assembles 3 chairs per hour, the number of chairs assembled by John = 3J.
Let L = the number of hours that Larry works.
Since Larry assembles 4 chairs per hour, the number of chairs assembled by Larry = 4L.
Since John and Larry work a total ...”

“Number of options for Phoebe = 1. (Must be Margherita.)
Number of options for Ross = 3. (Of the 4 remaining pizzas, any but Hawaiian.)
Number of options for Chandler = 3. (Any of the 3 remaining pizzas.)
Number of options for Joey = 2. (Either of the 2 remaining pizzas.)
Number of options for ...”

“Hi All,
We''re told that a certain company charges $6 per package to ship packages weighing less than 2 pounds each. However, for a package weighing 2 pounds or more, the company charges an initial fee of $6 plus $2 per pound. We''re told that a certain package cost $38 to ship. We''re asked for ...”

“Hi All,
Each of the other explanations explains the ''math'' behind this prompt, so I won''t rehash any of that here. Instead, I want to talk about the ''patterns'' behind this question, and how you can answer it without doing much math at all.
To start, we have to sort through a lot of ...”

“Hi All,
This question can be solved by TESTing VALUES. I''m going to use the variable "J" instead of an "I" (since that might be mistaken for the number 1)...
We''re told to add "2% of one''s income" to "the average of 100 and 1% of one''s income"
...”

“Hi All,
We''re told that a two-bedroom apartment costs 50% more to rent than a one-bedroom apartment. If Alex were to rent a two-bedroom apartment for X months it would cost him the same amount as it would to rent a one-bedroom for 12 months. We''re asked for the value of X. This question can be ...”

“Hi LDCross,
This 610 is a strong initial CAT Score (the average Score on the Official GMAT hovers around 550 most years) - and your Verbal Scaled Score is fantastic. As such, you might just need to put the proper focus/effort into building up your Quant knowledge and learning/practicing the ...”

“One woman and one man can build a wall together in two hours, but the woman would need the help of two girls in order to complete the same job in the same amount of time.
Since replacing 1 man with 2 girls does not change the amount of time required to complete the job, 1 man is the equivalent of 2 ...”

“Hi All,
We''re asked for the sum of all the ODD multiples of 5 from 1 to 500. This question is essentially about Arithmetic and can be solved with ''bunching.''
There are 100 multiples of 5 between 1 and 500: 1(5)..... (100)(5), but the question asks for only the ODD multiples of 5 (meaning ...”

“This is a MIXTURE problem.
Two speeds (3 mph and 8 mph) are combined to form a mixture with an average speed of 4 mph.
To determine how much time must be spent at each speed, we can use ALLIGATION.
Let U = the uphill speed and D = the downhill speed.
Step 1: Plot the 3 speeds on a number ...”

“Hi alanforde800Maximus,
This question uses what''s called "Formal Logic" (a concept that you would see repeatedly on the LSAT, but rarely on the GMAT). You can answer it with some drawings and careful note-taking.
Based on the information in the prompt, we have seven players ...”

“Hi alanforde800Maximus,
This is a tougher probability question than average (and you likely will not see this exact situation on Test Day). This is meant to say that you shouldn''t be too concerned about this prompt until you''re picking up points in all the other ''gettable'' areas first.
...”

“Hi alanforde800Maximus,
This is a thick, layered question, and would likely take most Test Takers more time than average to solve correctly. The key to solving it is to realize that we don''t know the prices of each soda and each juice box - they MIGHT be integers, but they MIGHT NOT. Also, we ...”

“Hi andyaf,
In your prior posts, you did not offer much information about your overall goals (other than that your Goal Score was 750+). Before I can offer you any additional advice, it would help if you could provide a bit more information on your timeline and your goals:
1) Is your Goal ...”

“Hi LDCross,
Earlier this year, GMAC made a formal announcement defining some changes that would be taking place to the format of the Official GMAT (which began April 16, 2018). These changes primarily impact the overall length of the Exam (meaning the number of questions in the Quant and Verbal ...”

“2 and 17 have no factors in common.
Since n must be divisible by both 2 and 17 -- and 2*17 = 34 -- n must be a MULTIPLE OF 34.
Thus, n must be divisible by I.
Eliminate any answer choice that does not include I.
Eliminate B and E.
If n=34, then n is not divisible by II or III.
Eliminate any ...”

“To keep track of the number of options for each position, draw a TREE.
Start with the MOST RESTRICTED position, which is SWEEPER.
If Sweeper = 3, then Goalie = 5.
If Sweeper = 4, then Fullback = 2.
Here''s the tree so far:
http://s11.postimage.org/laxnlsbof/soccer_half_tree.jpg
Now complete ...”

“A group...EACH has a team.
The wording above does not convey a logical meaning.
When each serves as an adverb, it cannot refer to a singular noun such as a group.
When each serves as an adverb, it may refer only to a PLURAL noun.
The prompt seems intended to convey the following:
Since ...”

“Hi All,
We''re told that in 1991, the price of a house was 80% of its original price and in 1992, the price of the house was 60% of its original price. We''re asked by what percent the price of the house decreased from 1991 to 1992. This question can be solved in a couple of different ways, ...”

“Hi All,
In this question, we''re given the ''rules'' for a particular sequence. We have the values of the first 3 terms and instructions for how to calculate each term afterwards (re: the 4th term is the sum of TWICE the term before it and the term ''2 terms'' before it - re: 2(3rd term) + 2nd ...”

“Hi All,
We''re told that each Machine of type A has 3 steel parts and 2 chrome parts, each machine of type B has 4 steel parts and 7 chrome parts and a certain group of type A and type B machines has a total of 20 steel parts and 22 chrome parts. We''re asked for the total number of machines. ...”

“Hi All,
We''re told that the main ingredient in a certain prescription drug capsule cost $500 per kilogram. If each capsule contains 600 milligrams of ingredient, what is the cost of the ingredient in a capsule? (1 kilogram = 10^6 milligrams). This is a ''unit conversion'' question and comes ...”

“Hi Sana Mehra,
Before I can offer you the specific advice that you’re looking for, it would help if you could provide a bit more information on how you''ve been studying and your goals:
Studies:
1) What type of study routine have you followed? How many hours do you typically study each ...”

“Statement 1:
For every $100 commission that Dan earns, Jeff earns $120 in commission.
Since the commission rates for Dan and Jeff are unknown, no way to determine whether Jeff recorded more sales revenue than Dan.
INSUFFICIENT.
Statement 2:
Since Jeff''s sales and Dan''s sales can be any ...”

“Standard deviation describes how much the values in a set deviate from the mean. A larger standard deviation indicates that the values are deviating more -- getting farther away from -- the mean. So the question can be rephrased:
Do the values in set A deviate more from the mean than the do ...”

“x² < y² can be rephrased as follows:
|x| < |y|
Thus, the question stem can be rephrased as follows:
Is |x+10| < |y-10|?
|a-b| = the distance between a and b
|a+b| = |a-(-b)| = the distance between a and -b
Thus, the question stem can be further rephrased as follows:
Is the ...”

“Hi Esteban,
Is your Official Score in the ''competitive range'' of what those Schools are looking for? If it''s not, and you want to retest, then you''ll have to be really efficient with the time that you have remaining before the Round 2 application deadlines.
You might choose to purchase ...”

“The team has won 58 percent of the games it has played.
58% = 58/100 = 29/50.
The fraction in blue implies that the number of wins must be a MULTIPLE OF 29:
If 50 games are played, the number of wins = (29/50)(50) = 29.
If 100 games are played, the number of wins = (29/50)(100) = 58.
If 150 ...”

“Hi All,
We''re told that the ratio of Anna''s and Paula''s CURRENT ages is 1:2. We''re asked which of the following COULD have been the ratio of their respective ages 8 years ago. This question can be solved in a couple of different ways, including by ''brute force'' Arithmetic.
Since we''re ...”

“Hi All,
3-Group Overlapping Sets questions are relatively rare on the Official GMAT (you likely will NOT see this version of Overlapping Sets on Test Day). However, there is a formula that you can use to solve it.
Total = (1st group) + (2nd group) + (3rd group) - (1st and 2nd) - (1st and ...”

“Hi Esteban,
How did you Score (including the Quant and Verbal Scaled Scores)? And are you planning to apply soon (sometime in the next couple of months)?
GMAT assassins aren''t born, they''re made,
Rich”

“The SC above is modeled -- not altogether successfully -- after SC30 in the OG12:
https://www.beatthegmat.com/not-sure-about-the-answer-of-a-question-from-og12-t265701.html
Rather than study the SC above, stick to the official SC.”

“The values in the chart DOUBLE-COUNT any student who belongs to 2 of the 3 clubs.
The totals for chess and drama -- 40 and 30 -- double-count the 10 students who belong to both chess AND drama.
The totals for chess and math -- 40 and 25 -- double-count the 5 students who belong to both chess AND ...”

“Let r=9, with the result that 1+r = 10.
Her husband can turn each dollar she gives him into 1+r, which will be deposited in a bank account.
Let the wife give the husband $1, implying that the husband turns this $1 into 1+r = $10.
Thus, the amount deposited into the account = $10.
The ...”

“Let the distance between A and B = 120 miles.
Since the 120-mile distance between A and B is twice the distance between B and C, the distance between B and C = 60 miles, implying that the total distance = 120+60 = 180 miles.
Since the average speed for the 120-mile leg between A and B = 60 ...”

“Hi Esteban,
The Program has a searchable database, so you don''t have to memorize any codes for the Schools that you want to send your Official GMAT Score to. Is your Official Test Date coming up (and when are you scheduled to take the Test?)?
GMAT assassins aren''t born, they''re made,
Rich”

“Hi All,
We''re told that when 6 is multiplied by X, the result is the SAME as when X is added to 9. We''re asked for the value of X/3. When dealing with GMAT questions, it''s important to make sure that you answer the question that is ASKED. Here, we''re NOT asked for the value of X, we''re ...”

“The sum for Lisa and Mike is 50 less than the sum for Norm and Mike.
Since Mike is common to both sums, the 50-photo difference must be yielded solely by Lisa and Norm.
Implication:
Lisa took 50 fewer photos than Norm.
We can PLUG IN THE ANSWERS, which represent the number of photos taken ...”

“Let h=3.
Since an average of $78 is sold per hour, the total revenue for 3 hours = 3*78 = 234.
Since the cost for the day is composed of $150 for the table rental and $10 per hour for the assistant, the cost for the day = 150 + 3*10 = 180.
P = profit = revenue - cost = 234 - 180 = 54.
The ...”

“It takes for granted that X implies that X is an ASSUMPTION: a statement that must be true for the conclusion to hold.
Thus, when X is negated, the conclusion must be invalidated.
B: It takes for granted that the volunteers with the highest levels of self-esteem had better social skills than did ...”

“Premise:
Volunteers with the highest levels of self-esteem consistently rated themselves as having much better social skills than did the volunteers with moderate levels.
Conclusion:
Attaining an exceptionally high level of self-esteem greatly improves one’s social skills.
The correct answer ...”

“Let k=10.
2k years ago Frank was 3k years old.
Since k=10, 20 years ago Frank was 30 years old, implying that his age now = 30+20 = 50.
In k years Frank''s age, in years, will be:
Since Frank is now 50 years old, Frank''s age in 10 years = 50+10 = 60.
The correct answer must yield a value ...”

“Alternate approach:
For any quadratic in the form x² + bx + c = 0, where b and c are rational numbers:
If one of the roots is m+√n, then the other root is m-√n.
Sum of the roots = -b
Product of the roots = c
Here, since one of the roots is 1+√2, the other root is 1-√2.
Thus:
-b ...”

“Hi All,
We''re told that during a special promotion, a certain filling station is offering a 10 percent discount on gas purchased AFTER the first 10 gallons. Kim purchased 20 gallons of gas, and Isabella purchased 25 gallons of gas. We''re asked for Isabella''s total PER-GALLON DISCOUNT as a ...”

“Since each payday is $10 more than the preceding payday, the list of 15 paydays constitutes an EVENLY SPACED SET.
Statement 1:
For any evenly spaced set:
Median = Sum/Quantity.
Thus:
Pay on the 14th day = median of the 3 most recent days = sum/quantity = 690/3 = 330.
Since the pay on the ...”

“Original deposit: 10,000.
The balance doubles every 10 years.
After 10 years, we get:
2*10,000 = 20,000.
After 20 years, we get:
2*20,000 = 40,000.
After 30 years, we get:
2*40,000 = 80,000.
The correct answer is E.”

“Hi All,
We''re told that 190 students go to a school bake sale. Of those students, 95 buy a chocolate chip cookie, 75 buy a peanut butter cookie, and AT LEAST 12 buy both. We''re asked for the LEAST number of students who could have bought NEITHER type of cookie. This question is a variation on ...”

“Hi All,
To start, I agree with Brent; the wording of this prompt is ''clunky'' - and the GMAT writers word their questions in a far more rigorous and specific fashion than what we see here. That having been said, the basic concepts involved here are Combinations and Permutations.
We''re ...”

“Hi All,
We''re told that Mr. McCall selects a number that is two-digit and positive: If the number is prime, then he assigns that many problems for homework. If the number is NOT prime, then he assigns 8 MORE problems than the number for homework. We''re told he assigns 97 problems for homework. ...”

“Let the 6 vertices = A, B, C, D, E and F.
P(the triangle includes AT LEAST 1 side of the hexagon) = 1 - P(the triangle includes NO sides of the hexagon).
From the 6 vertices, the number of ways to choose 3 to form a triangle = 6C3 = (6*5*4)/(3*2*1) = 20.
Of these 20 triangles, only 2 include ...”

“Hi All,
We''re told that S and T are two DIFFERENT numbers on the number line. We''re asked if S + T = 0. This is a YES/NO question and can be solved by TESTing VALUES and a bit of Number Property logic.
1) The distance between S and 0 is the SAME as the distance between T and 0
Since S ...”

“Hi All,
This question involves some subtle Number Property rules that you have to consider to get the correct answer. Those rules, along with TESTing VALUES, can help you to quickly answer the question...
We''re told that 25% of the women and 17% of the men participate in the voluntary equity ...”

“Hi All,
We''re told that Sarah receives a bonus for EACH sale she makes - and that last week, she earned a $4,000 bonus, which decreased her AVERAGE bonus amount to $4800 (which represents a decrease of 4%). We''re asked for the number of sales Sarah made. This question can be solved in a couple ...”

“Hi All,
We''re told that X is an INTEGER and X^3 is LESS than X^2. We''re asked for the value of X. This question can be solved with a mix of Number Properties and TESTing VALUES.
To start, there are only certain types of values that will fit the given information that X^3 is less than X^2: ...”

“Hi All,
We''re told that a certain company that sells only cars and trucks reported that revenues from car sales in 1997 were down 11 percent from 1996 and revenues from truck sales in 1997 were up 7 percent from 1996. If total revenues from car sales and trucks sales in 1997 were up 1 percent ...”

“Hi All,
We''re told that Mary is building a pyramid out of stacked rows of soup cans; the top row of the pyramid contains a single soup can, each row below the top row contains 6 MORE cans than the one above it and the completed pyramid contains 16 rows. We''re asked for the TOTAL number of soup ...”

“Number of options for the 1st person = 8.
Number of options for the 2nd person = 6. (Of the 7 people left, we can''t use the twin of the 1st person chosen, leaving 7-1= 6 choices.)
Number of options for the 3rd person = 4. (Of the 6 people left, we can''t use the twins of the 2 people already ...”

“Hi All,
We''re told that when running a mile during a recent track meet, Nuria was initially credited with a final time of 5 minutes, 44 seconds. Shortly after her run, officials realized that the timing mechanism malfunctioned. The stopwatch did not begin timing her until 11/25 of a MINUTE ...”

“Hi All,
TESTing the ANSWERS is a great way to tackle this question. The "fast" way to solve a problem can still sometimes take time, but regardless of how you approach a prompt, you still need to take notes and stay organized.
From the screen capture, you chose answer C (1/2). If ...”

“Hi All,
We''re told that Portia purchased a laptop for $480, but after checking the merchant''s website realized that she had been overcharged by 20%. We''re asked how many dollars she was overcharged. This question can be solved in a couple of different ways, including by TESTing THE ANSWERS.
...”

“Let x = the yearly increase.
Height after 4 years = 4 + 4x.
Height after 6 years = 4 + 6x.
At the end of the 6th year, the tree was 1/5 taller than it was at the end of the 4th year.
The phrase in red implies the following:
The height in the 6th year was 6/5 of the height in the 4th ...”

“Hi All,
We''re told that Reggie purchased a car costing $8,700 and as a down payment he used a $2,300 insurance settlement and an amount from his savings equal to 15 percent of the difference between the cost of the car and the insurance settlement. He borrowed the rest of the money needed to ...”

“Hi swerve,
We''re told that of the employees at a company, 60 percent were men and, of these, 1/10 were still employed after a recent corporate restructuring and the number of women who were still employed after the restructuring was FIVE TIMES the number of men who were employed after it. ...”

“Any integer that is a multiple 10 is also a multiple of 5.
Implication:
Any integer that satisfies Statement 1 will also satisfy Statement 2.
Both statements are satisfied by the following cases:
Case 1: p=10, which is a multiple of 10 (and thus is also a multiple of 5)
In this case, p is NOT a ...”

“The drawings below satisfy both statements:
http://s4.postimage.org/1yjxdhskk/ABCD_number_line.jpg
Since in the first case BD=1 and in the second case BD=17, the two statements combined are insufficient.
The correct answer is E.”

“Case 1: Team A wins a prize, with the result that Team B must win a prize
Number of prizes that could be won by A = 3.
Number of remaining prizes that could be won by B = 2.
Number of teams that could win the third prize = 4. (Any of the 4 remaining teams.)
To combine these options, we ...”

“Let n=50, implying that 50% of the sold juice packs are A, while the other half are B.
In other words, the store sells an EQUAL NUMBER of each type of juice pack.
Let the store sell 2 OF EACH TYPE of juice pack.
Revenue from two $1 packs of A = 2*1 = 2.
Revenue from two $1.5 packs of B = ...”

“Hi All,
We''re told that a box contains red and blue balls only and that there are 8 balls in total. We''re asked for the number of RED balls are in the box.
1) If two balls are randomly selected without replacement, the probability that both balls are red is 5/14
To start, since we''re ...”

“Hi All,
We''re asked for the value of |X - 2|. This question comes down to a specific math concept (Absolute Value), some basic arithmetic and thoroughness on your part - meaning that you have to make sure that you answer the question that is ASKED.
1) |X - 4| = 2
Since we''re dealing ...”

“Hi intelligenthuman171,
Since it sounds like you''re just beginning your studies, then it would be a good idea to take a FULL-LENGTH practice CAT Test; you can take 2 for free at www.mba.com (and they come with some additional practice materials). If you want to do a little studying first, so ...”

“Let James'' rate = 3 mph.
James started from his home and drove eastwards at a constant speed. Exactly 90 minutes after James stated from his home, his brother Patrick started from the same point and drove in the same direction as James did at a different constant speed. Patrick overtook James ...”

“The equation for a circle with its center at the origin and a radius of r is as follows:
x² + y² = r².
Thus, x² + y² = 25 is a circle with its center at the origin and a radius of 5.
A point on this circle will have integer coordinates in three cases:
Case 1: The radius is horizontal
...”

“Hi All,
We''re told that each of the two DIGITS X and Y is distinct. We''re asked if the two-digit integer XY is PRIME. This is a YES/NO question and can be solved by TESTing VALUES.
1) Each of the digits X and Y is the sum of 2 distinct single digit prime numbers.
The single-digit ...”

“Hi All,
We''re told that a casino pays players with chips that are either turquoise- or violet- colored; each turquoise- colored chip is worth T dollars, and each violet- colored chip is worth V dollars, where T and V are INTEGERS. We''re asked for the combined value of four turquoise- colored ...”

“Hi All,
This question can be solved by TESTing THE ANSWERS. To start, the prompt provides a few clues about why the speeds have to be 2 miles/hour and 3 miles/hour:
1) The two speeds are S miles/hour and (S+1) miles/hour, so the two numbers must differ by EXACTLY 1.
2) We''re told that S ...”

“Hi KDR83,
Your Essay and IR Scores are both nice achievements - but most Programs do much put much of a ''premium'' on either of those Scores (although depending on the number of applicants and the situation, it''s possible that those Scores could serve as ''tie breakers'' in your favor). I''d ...”

“The average speed -- 2.8 miles per hour -- must be BETWEEN the two individual rates (s and s+1).
Thus, s = 2 miles per hour and s+1 = 3 miles per hour.
We can PLUG IN THE ANSWERS, which represent the fraction traveled at 2 miles per hour.
When the correct fraction is plugged in, the average ...”

“Number of options for president = 10. (Any of the 10 members.)
From the remaining 9 members, the number of ways to choose 2 to serve as vice-president = 9C2 = (9*8)/(2*1) = 36.
To combine these options, we multiply:
10*36 = 360.
The correct answer is E.”

“Hi All,
We''re told that a company accountant estimates that airfares next year for business trips of a thousand miles or less will increase by 20 percent and airfares for all other business trips will increase by 10 percent. This year, total airfares for business trips of a thousand miles or ...”

“Hi All,
We''re told that an urn contains 10 balls, numbered from 1 to 10 and we''re told that 2 balls are selected at random WITH replacement. We''re asked for the probability that the SUM of the 2 numbers on the balls will be EVEN. This question can be solved in a couple of different ways, ...”

“Hi All,
3-Group Overlapping Sets questions are relatively rare on the Official GMAT (you likely will NOT see this version of Overlapping Sets on Test Day). However, there is a formula that you can use to solve it.
Total = (Those in none of the groups) + (1st group) + (2nd group) + (3rd ...”

“Hi All,
We''re told that a between the first day of May and last day in June, the price per kilogram of Melange, a seasoning mix, first DECLINED by 20 percent and then INCREASED by 50 percent and during this same period, the price per liter of Blue, a spring water, first INCREASED by 20 percent ...”

“Hi All,
We''re told that Bobby bought 2 shares, which he sold for $96 each, he had a profit of 20% on the sale of one of the shares but a loss of 20% on the sale of the other share. We''re asked to find the TOTAL profit or loss on the sale of the two shares. This question essentially comes down ...”

“Hi utdallas2019,
That''s absolutely fantastic news! A 100-point improvement in such a short period of time is a terrific achievement - and since this 640 puts you well above your Goal Score, this sounds like a bit ''win'' overall! You clearly have a strong work ethic and capacity to improve, so I ...”

“Hi All,
We''re told that at an auto detailing company, it takes 15 minutes for an employee to service a car and 24 minutes to service a truck and the company needs to service all 300 trucks and 360 cars on a lot during a 6-hour shift. We''re asked for the number of employees needed to complete ...”

“Hi All,
We''re told that a certain recipe calls for 2 cups of sugar and 3 1/2 cups of flour. We''re asked for the ratio of sugar to flour in this recipe. This question can be solved in a couple of different ways. The answer choices are sufficiently ''spread out'' that we can actually answer this ...”

“Hi vinni.k,
We''re told that a chili recipe calls for the final mixture to consist of 1/2 meat and 1/3 beans, with the remainder an even mixture of sauce and various spices (and a total of 6 pounds of sauce and spices are used). We''re asked how many pounds of beans are used. This question can ...”

“Hi nnennaj,
We''ve been unable to recreate the error that you are experiencing. One of our Engineers suggested that you might try using Apple Numbers.
GMAT assassins aren''t born, they''re made,
Rich”

“Hi nnennaj,
We''ve been unable to recreate the error that you are experiencing. One of our Engineers suggested that you might try using Apple Numbers.
GMAT assassins aren''t born, they''re made,
Rich”

“One approach is to use the following equation:
(machines)(time) / output = (machines)(time) / output
In the equation above:
Machines and time are INVERSELY PROPORTIONAL.
As the number of machines increases, the amount of time required to produce the same output decreases.
Machines and ...”

“One approach:
Good Cases = Total Cases - Bad Cases.
Total Cases:
From 9 points, the number of ways to choose 3 = 9C3 = (9*8*7)/(3*2*1) = 84.
Bad Case 1: Choosing 3 collinear points from the 5-point line, with the result that a triangle cannot be formed
From the 5 points on this line, the ...”

“Hi All,
We''re told that a retailer sells only radios and clocks and she currently has 44 total items in inventory. We''re asked how many of those items are radios. This question can be solved by TESTing VALUES.
1) The retailer has MORE than 28 radios in inventory.
With 44 total items, ...”

“Hi All,
We''re told that a certain telephone company offers two plans, A and B. Under plan A, the company charges a total of $0.60 for the FIRST 7 minutes of each call and $0.06 per minute thereafter. Under plan B, the company charges $0.08 per minute of each call. We''re asked for the duration ...”

“Hi All,
We''re told that R and S can complete a certain job in 6 and 4 days respectively, while they work individually. We''re asked for the LEAST number of days they will take to complete the same job, if they work on alternate days. Although the wording of this question is a bit ''clunky'', ...”

“Hi All,
We''re told that twelve identical machines, running continuously at the same constant rate, take 8 days to complete a shipment. We''re asked how many ADDITIONAL machines, each running at the same constant rate, would be needed to REDUCE the time required to complete a shipment BY two ...”

“Since the prompt indicates that n is an integer greater than 1, the case in red is not possible.
The only value that satisfies Statement 2 is n=2, making Statement 2 SUFFICIENT.
The correct answer thus is not C but B.”

“Hi gmat king,
The other posts in this thread are over 5 years old, so you might not receive a response from any of the posters. If you''re looking to improve your GMAT Score, then I''ll be happy to analyze your situation/Scores. Before I can offer you the specific advice that you’re looking ...”

“Between 1982 and 1987 are 4 non-leap years and 1 leap year.
Each non-leap year is composed of 365 days; a leap year is composed of 366 days.
Thus, from June 25, 1982 to June 25, 1987, the total number of days = 4(365) + 366.
Since June 25, 1982 is a Friday, every passing of 7 days will yield ...”

“(man''s rate)/(woman''s rate) = (4 mph)/(20 mph) = 1/5.
Between the moment when the woman passes the man and the moment when she stops to wait, the woman and the man each travel for 5 minutes.
During these 5 minutes, the woman travels x miles.
Since the man''s rate is 1/5 the woman''s rate, the ...”

“Hi clubber112358,
To start, if you have taken any other practice CATs besides the two that you listed, then that information is important. If you''ve been scoring in the low-500s for some time, then it''s possible that you have gotten ''stuck'' at this particular score level - and your ''next ...”

“Hi melisaaslan,
I''m sorry to hear that Test Day didn''t go as well as planned. When these types of score drops occur, the two likely "causes" involve either something that was unrealistic during practice or something that was surprising (or not accounted for) on Test Day. If you can ...”

“Statement 1:
Here, n can be any prime number.
INSUFFICIENT.
Statement 2:
(n+2)/n = n/n + 2/n = 1 + 2/n.
Given that n must be an integer, 1 + 2/n will yield an integer value only if n is a FACTOR OF 2.
Factors of 2: 1 and 2.
Since n must be greater than 1, n=2.
SUFFICIENT.
The correct ...”

“Hi clubber112358,
Before I can offer you the specific advice that you’re looking for, it would help if you could provide a bit more information on how you''ve been studying and your goals:
Studies:
1) What study materials have you used so far?
2) How have you scored on EACH of your CATs ...”

“Hi hitmanov,
You should start a new post-thread (instead of piggy-backing on this one) and provide a bit more information on how you''ve been studying and your goals:
https://www.beatthegmat.com/gmat-strategy-f3.html
Click the orange "Create New Topic" Button above the forum
...”

“Hi All,
We''re told that when M is divided by 7, the remainder is 5, when M is divided by 13, the remainder is 6 and 1 < m < 200. We''re asked for the GREATEST possible value of M. This question can be solved rather easily by TESTing THE ANSWERS. Let''s TEST Answer E first (if it fits what ...”

“Hi All,
The given Number line shows us a set of numbers from -3 to +1, NOT inclusive. We can TEST VALUES against the 5 answer choices to find the answer that includes JUST that range of numbers...
To start, both Answer A and Answer E include an open-ended range of values, so neither of those ...”

“Hi pratj05,
It''s been almost 2 weeks since your first post; have you done any studying since then (and if you have, then what materials have you used so far?)?
The 730+ score is one that over 90% of Test Takers never achieve (regardless of how long they study or the number of times that they ...”

“Hi All,
To start, you have to be very careful about your assumptions with this question. You will likely find that doing a little bit of extra work will help you to be sure that you have the correct answer. From the prompt, we know that we''re mixing P ounces of a 60% sugar solution with Q ounces ...”

“Hi All,
We''re told that P is a positive integer. We''re asked if P can be expressed as the PRODUCT of two integers, each of which is greater than 1. This is a YES/NO question can be be solved by TESTing VALUES.
1) 31 < p < 37
With the range given in Fact 1, P can only be 5 ...”

“Hi All,
Based on the wording of the prompt, you might think that you should add up the fractions 1/91 + 1/92 + .... 1/100, but the GMAT would NEVER require that you do that math. Instead, lets do some real basic estimation of what that sum would be LESS than and GREATER than.... Note that we''re ...”

“Hi All,
We''re told that a dealer originally bought 100 identical batteries at a total cost of Q dollars and that each battery was sold at 50 percent above the original cost per battery. We''re asked for the amount, in dollars, that each battery was sold, in terms of Q. This question can also be ...”

“Hi rashedhbs,
To start, you would like receive more of a response if you make sure to post your questions in the proper forums. For example, the DS forum can be found here:
https://www.beatthegmat.com/data-sufficiency-f7.html
We''re told that 230 single-family homes that were BUILT in City ...”

“Statement 1:
Rate and time have a RECIPROCAL relationship.
A rate ratio of (40kph) : (50kph) = 4:5 implies a time ratio of 5:4 = 10:8.
The time ratio in blue implies that -- for the time at 40kph to be 2 hours more than the time at 50kph -- the time at 40kph must be 10 hours, while the time at ...”

“Hi All,
TESTing the ANSWERS is a great way to tackle this question. The "fast" way to solve a problem can still sometimes take time, but regardless of how you approach a prompt, you still need to take notes and stay organized.
From the screen capture, you chose answer C (1/2). If ...”

“Hi All,
We''re told that a retail appliance store priced a video recorder at 20 percent above the wholesale cost of $200 and a store employee applied the 10 percent employee discount to the retail price to buy the recorder. We''re asked for the total price the employee paid for the recorder. The ...”

“Hi swerve,
We''re told that in a certain toy store, 20% of the INTERNATIONAL branded toys are the ONLY premium category toys and that premium toys make up 10% of the TOTAL number of toys in the store. We''re asked to find the percentage of toys in the store that are international brands. This ...”

“Hi BHUPENDRA,
First off, a 640/Q49 is a solid score (it''s right around the 70th percentile overall), so it could be enough to get you into your first-choice School. GMAC has publicly stated that the Official Score that you earn on Test Day is within +/- 30 points of actual ability. Assuming a ...”

“Statement 1:
The TIME RATIO for Tim and Glenn = 48:60 = 4:5.
Since time and rate have a RECIPROCAL relationship, the RATE RATIO for Tim and Glenn = 5:4.
Implication:
For every 5 laps that Tim runs, Glenn runs only 4 laps.
Thus, after running 5 laps, Tim will have run 1 more lap than Glenn. ...”

“Let the one-bedroom rent = $2 per month, implying that the two-bedroom rent = 2 + (50% of 2) = 2 + 1 = $3 per month.
Since the rent for a one-bedroom apartment = $2 per month, the total amount to rent a one-bedroom apartment for 12 months = 2*12 = $24.
For $24, the number of months yielded for a ...”

“Hi All,
While this prompt is wordy, the relevant facts are not too hard to pull out. We''re told that a rectangular playground will have an area of 1,600 square meters and we want to MINIMIZE the perimeter of the playground. We''re asked for the LENGTH of the playground under those ...”

“Hi All,
We''re told that a two-bedroom apartment costs 50% more to rent than a one-bedroom apartment. If Alex were to rent a two-bedroom apartment for X months it would cost him the same amount as it would to rent a one-bedroom for 12 months. We''re asked for the value of X. This question can be ...”

“Hi anish_025,
Have you taken the Official GMAT yet? If you have, then how did you Score (including the Quant and Verbal Scaled Scores)? Before I can offer you the specific advice that you’re looking for, it would help if you could provide a bit more information on how you''ve been studying ...”

“Hi All,
This question involves a bit of logical thinking and factoring skills. You have to take notes and stay organized though, if you want to answer this question correctly.
We''re told:
Blue chips = 1 point each
Green chips = 5 points each
Purple chips = X points each (more than ...”

“Hi Shubrat,
That''s FANTASTIC news! With this 690, you can apply to any Schools that interest you (and it sounds as if this score puts you above the average Scores at the Programs that you''re considering - which is great news). I hope you reach out and let us know how your applications go. We ...”

“Hi Sarat,
Studying 12 hours a day would probably be too much studying - and would likely lead to an increased chance of ''burning out'' before your Exam (and that is something that we want to avoid). If you want to study 6-8 hours a day, then that would probably be fine - but you must build in ...”

“Hi Gopi,
To start, a 570 is a strong ''baseline'' score (the average score on the Official GMAT hovers around 550 most years). You''ve also given yourself plenty of time to study - which is good. Given your Score Goal, you would likely find it beneficial to invest in a GMAT Course of some type ...”

“Let W = Winesap crates, M = McIntosh crates, and R = Roma crates.
Since a total of 25 crates are ordered, we get:
W + M + R = 25.
To MINIMIZE the value of W, we must MAXIMIZE the values of M and R.
Since the store is to order more crates of Winesap than crates of McIntosh and more crates of ...”

“The prompt states:
Every day, the two machines operate constantly from 08:00 to 18:00.
As shown in my post above, Statement 2 yields the following rate ratio:
(W alone) : (W and D together) = 1:5.
The rate ratio indicates that -- of every 5 kg produced when W and D work together from 8:00 to ...”

“Generally, for + VERBing is an ADJECTIVE serving to modify a NOUN.
A: The Breeding Bird Survey uses annual roadside counts along established routes for monitoring.
Here, for monitoring seems to be an ADJECTIVE modifying routes, implying that the ROUTES were designed FOR MONITORING.
Not the ...”

“Let x = the two-digit number.
Since dividing by 4 leaves a remainder of 1, x is equal to one more than a multiple of 4:
x = 4k + 1
Since dividing by 14 leaves a remainder of 1, x is equal to one more than a multiple of 14:
x = 14m + 1
Since the two expressions in blue must be equal, we ...”

“Hi All,
We''re told that A, B and C each drive 100-mile legs of a 300-mile course at speeds of 40, 50 and 60 miles per hour, respectively. We''re asked what FRACTION of the total drive time did A drive. This question can be solved in a couple of different ways; there''s actually a great ''ratio ...”

“Hi All,
We''re told that Paul sells encyclopedias door-to-door. He earns $160 on every paycheck, regardless of how many sets he sells and a commission as follows:
10% on the first $10,000.00 and 5% for any additional sales beyond that.
His largest paycheck of the year was $1,320. We''re ...”

“Hi All,
We''re told that on a wedding catering service, an experienced chef can prepare a service for a wedding in 8 hours while an novice chef would finish the preparations in 12 hours. If the catering service employs the SAME number of novice and experienced chefs, then how many chefs would it ...”

“Hi All,
We''re told that 3^(X) - 3^(X-1) = 162. We''re asked for the value of then (X)(X-1). This question can be solved rather easily with a bit of ''brute force'' arithmetic.
Since we''re dealing with ''powers of 3'', let''s map out the first several values:
3^1 = 3
3^2 = 9
3^3 = 27
3^4 ...”

“Hi All,
We''re told that the ratio of the degree measures of the angles of a triangle is 2:3:4. We''re asked which of the following is the sum of the degree measures of the SMALLEST and LARGEST angles.
Since the ratio of the angles is 2:3:4, we can refer to those 3 angles as 2X, 3X and 4X, ...”

“Hi All,
You can approach this question by TESTing THE ANSWERS. Instead of setting this up algebraically, you can use the ''spread'' of the answer choices to your advantage.
Here, if the total value of the item were $2,000, then the tax would only apply to the amount over $1,000....
$1,000 x ...”

“Hi swerve,
We''re told that a chemical supply company has 60 liters of a 40% HNO3 solution. We''re asked for the number of liters of pure undiluted (meaning 100%) HNO3 the chemists must add so that the resultant solution is a 50% solution. This question is essentially a ''Weighted Average'' ...”

“Statement 1: If the selling price per coat had been twice as much , the store’s gross profit on the 20 coats would have been $2,400
When the selling price per coat is doubled, the resulting profit per coat = (total profit)/(number of coats) = 2400/20 = 120.
Case 1: Double the selling price = ...”

“60! = 60*59*58*....*3*2*1.
Since 10=2*5, EVERY COMBINATION OF 2*5 contained within the prime-factorization of 60! will yield a 0 at the end of the integer representation of 60!.
The prime-factorization of 60! is composed of FAR MORE 2''S than 5''s.
Thus, the number of 0''s depends on the ...”

“An INSCRIBED ANGLE is formed by two chords.
A CENTRAL ANGLE is formed by two radii.
When an inscribed angle and a central angle intercept the same two points on a circle, the inscribed angle is 1/2 the central angle.
https://i.postimg.cc/qgbxWKdW/Angle-CEB-1.png
Here, inscribed angle CFB and ...”

“Hi All,
While this question IS wordy, the math behind it is just arithmetic. If you break the prompt into ''pieces'', then the work shouldn''t be too difficult. The first two sentences tell us that the total car expenses were $18,000, fuel and maintenance costs accounted for 1/3 of THAT total and ...”

“Hi clubber112358,
You might find it useful to start your own post-thread (instead of piggy-backing on this one) and providing a more-detailed description of how you''ve been studying. If you would rather keep the discussion private, then you can feel free to PM or email me directly. Before I ...”

“Hi sarat0994,
From what you have described, it sounds as if you worked through lots of practice questions, but it''s not clear whether you were actually practicing Tactics and training to take advantage of all of the built-in patterns that GMAT question-writers put into the Exam or not. Raising ...”

“Hi Leo,
To start, since you have named some highly-competitive Schools, you would likely find it beneficial to speak with an Admissions Expert about your overall profile and application plans. There''s a Forum full of those Experts here:
...”

“Hi All,
The math that''s required to answer this question can actually be done in a couple of different ways, depending on how you "see" probability questions. We''re given 2 red rosebushes (R1 and R2) and two white rosebushes (W1 and W2). We''re told to put these 4 rosebushes in a ...”

“Hi baldururikson,
The scoring algorithm on the Official GMAT is far more complicated than most people realize. Since that algorithm is proprietary, no GMAT company has an exact match for it, thus CAT scores can vary a bit based on the ''biases'' involved in their respective designs. The most ...”

“Hi KDR83,
First off, a 640 is a solid score (it''s right around the 70th percentile overall), so it could be enough to get you into your first-choice School. As such, a retest might not be necessary. Depending on the Schools that you plan to apply to, you would likely find it beneficial to speak ...”

“Hi Arun192097,
Since this website is devoted to preparing for the GMAT and applying to Business School, we should focus on those areas of discussion. Before I can offer you the specific advice that you’re looking for, it would help if you could provide a bit more information on how you''ve ...”

“Hi sarat0994,
I''m sorry to hear that Test Day did not go as well as hoped. The ''swings'' in your practice CAT/mock Scores imply that you might have taken those Exams in an inconsistent fashion - and in ways that did not necessarily ''match up'' with what you faced on Test Day. Before we ...”

“Statement 1: x=12u, where u is an integer and x=8y+12.
In other words, x is a multiple of 12.
For x to be a multiple of 12, 8y must be a multiple of 12.
If y=3, then x = 8*3 + 12 = 36.
The GCD of 3 and 36 is 3.
If y=6, then x = 8*6 + 12 = 60.
The GCD of 6 and 60 is 6.
Since the ...”

“Time and rate have a RECIPROCAL RELATIONSHIP:
2 times as fast implies 1/2 the time.
3 times as fast implies 1/3 the time.
Let t = the normal time.
Since the bus travels today at 7/6 its normal rate, the time today is equal to 6/7 of the normal time:
(6/7)t.
Since the bus leaves 1/2 hour late ...”

“Given any set that is symmetrical about the median:
Sum = (quantity)(median)
The set of 3-digit integers that can be formed from the digits 1,2 and 3 is symmetrical about the median (222):
...212, 213, 221, 222, 223, 231, 232...
Thus:
Sum of the 27 integers = (quantity)(median) = 27*222 = ...”

“For the purposes of a Y/N DS problem, the rephrase is the equivalent of the original question stem.
Original question stem: Is x² > xy?
The answer will be YES if y/x is less than 1..
The answer will be NO if y/x is NOT less than 1.
Thus, the original question stem can be rephrased as ...”

“x² > xy is true only if x is NONZERO, in which case we can safely divide by x², since the square of a nonzero value must be positive:
x²/x² > (xy)/x²
1 > y/x
Question stem, rephrased:
Is y/x < 1?
Statement 1: x > y
If x=2 and y=1, then y/x =1/2. so the answer to the ...”

“Let the job = the LCM of the 3 times = 60 widgets.
Maximum time:
The maximum time is yielded when the slowest person -- R -- works alone.
Since R takes 15 hours to complete the 60-widget job, the maximum time = 15 hours.
Minimum time:
The minimum time is yielded when all 3 people work ...”

“Hi All,
We''re told that a post on a website gains a point if a user chooses to upvote it and loses a point if a user chooses to downvote it and that a particular post has a total of 60 points (with 40% of the votes being downvotes). We''re asked for the total number of votes that have been cast ...”

“Hi All,
We''re told that the hexagonal face of the block shown in the figure above has sides of equal length and angles of equal measure and each lateral face is rectangular. We''re asked for the area, in square inches, of one lateral face. This question is based on a Geometry pattern - and if ...”

“Hi All,
We''re told that Cars J and K are making the trip from City A to City B. Car J departs from City A 15 minutes AFTER Car K does, both cars travel along the same route and Car K travels at a constant speed that is 80% the constant speed of Car J. We''re asked for the number of MINUTES that ...”

“X led to Y implies that X did not directly cause Y but that X was a factor that helped to yield Y.
SC755 in the OG17:
An inability to adapt led to their extinction.
Here, an inability to adapt did not directly cause the extinction but was a factor that helped to yield the extinction.
A cause ...”

“Generally, COMMA + as-clause implies that the clause after as LEADS to the preceding clause, with the result that the two clauses happen concurrently.
An OA in GMATPrep:
The steel industry has changed radically over the last two decades, as large, integrated companies such as Bethlehem Steel have ...”

“Let B = Barry''s rate and W = the walkway''s rate.
The distance can be ANY VALUE.
Let the distance = 240 meters.
WITH the walkway, the time = 30 seconds:
Here, Barry and the walkway WORK TOGETHER, so we ADD their rates:
B+W = d/t = 240/30 = 8 meters per second.
AGAINST the walkway, the ...”

“Let the x family members = the product of the two denominators = 3*7 = 21.
Number who chose to have a hamburger = (1/3)(21) = 7.
Since 1/7 of the hamburger-eaters also had a hot dog, the number who had both = (1/7)(7) = 1.
Thus, the number who did NOT have both = (total members) - (number who had ...”

“I believe that the prompt above is outdated; regardless, it does not list a correct answer. The prompt below appears in Manhattan''s 5 lb. Book of GRE Practice Problems:
Case 1: 57XXX
Number of options for the hundreds digit = 10. (Any digit 0-9.)
Number of options for the tens digit = 10. ...”

“Since the N cookies can be divided evenly among 24 or 18 students, N must be divisible by both 24 and 18.
One way to determine the LCM of two integers is to take multiples of the LARGER integer until we get a multiple of the SMALLER integer.
Multiples of 24:
24, 48, 72...
We can stop here: the ...”

“Statement 1:
If NONE of the members sells at least 2 tickets, then the 3 members sell a maximum of 1 ticket each, yielding the following total:
1+1+1 = 3.
Too small, since the total number of tickets sold = 6.
Implication:
For a total of 6 tickets to be sold, one of the 3 members must sell at ...”

“This is a weighted average/mixture problem.
Average score for the first N games = 35.
Score for the final game = 28.
Average score for the MIXTURE of all the games = 34.
Step-by-step instruction for the alligation approach:
Step 1: Plot the 3 averages on a number line, with the average ...”

“The difference between the endpoints of the range = 200-10 = 190.
Since neither endpoint is a multiple of 3, we can count the multiples of 3 simply by dividing 3 into 190:
190/3 ≈ 63.
The correct answer is D.”

“Let d=100.
After the value of the stock increases by 40% to $140, the share received by each of the 20 friends = 140/20 = 7.
The correct answer must yield a value of 7 when d=100.
Only E works:
(7d)/100 = (7*100)/100 = 7.
The correct answer is E.”

“We can PLUG IN THE ANSWERS and use alligation.
To learn about alligation, check my posts here:
https://www.beatthegmat.com/statistics-average-question-t288903.html
https://www.beatthegmat.com/alligation-method-t293459.html
https://www.beatthegmat.com/mean-t266852.html
Let O = the original ...”

“Statement 1:
Time and rate have a RECIPROCAL relationship.
Since X and Y together take 2/3 as long as Y alone, X and Y together work 3/2 as fast as Y alone.
Thus, if Y''s rate alone = 2 units per hour, then X and Y''s combined rate = (3/2)(2) = 3 units per hour, implying that X''s rate alone = ...”

“To form a triangle, we must select 3 points such that at most 2 are collinear.
Case 1: Select 3 points not on the x-axis
From the 4 points not on the x-axis, the number of ways to choose 3 = 4C3 = (4*3*2)/(3*2*1) = 4.
Case 2: Select 1 point on the x-axis and two points not on the x-axis
From ...”

“Hi All,
We''re told that the figure above represents a rectangular garden bordered by a walkway that has a uniform width of 3 feet. We''re asked for the PERIMETER of the garden. This question can be solved with a mix of Arithmetic and TESTing VALUES.
1) The outer perimeter of the walkway is ...”

“Hi saurabh_sha,
From your post, it sounds like you''re just starting out. Is that true? Have you done any studying for the GMAT so far? If you have, then what materials have you used and how have you scored on your practice CATs/mocks?
If you''re just beginning, then it would be a good idea to ...”

“Number of options for president = 8. (Any of the 8 candidates.)
Number of options for treasurer = 7. (Any of the 7 remaining candidates.)
From the 6 remaining people, the number of ways to choose 3 to serve as warrant officers = 6C3 = (6*5*4)/(3*2*1) = 20.
To combine these options, we multiply:
...”

“For the set of pencils to be shared evenly, the total number of pencils must be divisible by the total number of children.
Thus, the correct answer must be divisible by 2, 3, 4, 5 and 6.
Of the five answer choices, only E is divisible by 2, 3, 4, 5 and 6.
The correct answer is E.”

“Hi All,
We''re told that a certain wheel turns at a constant rate of X revolutions per MINUTE. We''re asked for the number of revolutions that the wheel will make in K SECONDS. This question can be solved in a number of different ways, including by TESTing VALUES.
IF.... X=2 and K=60...
The ...”

“Hi All,
We''re told that Jonah drove the first half of a 100-mile trip in X hours and the second half in Y hours. We''re asked which of the following is equal to Jonah’s average speed, in miles per hour, for the entire trip. This question can be solved in a couple of different ways, including ...”

“Hi All,
We''re told that A and B are integers such that A > B > 1. We''re asked which of the following CANNOT be a multiple of either A or B. This question can be solved with some basic concept knowledge of the rules behind ''multiples.''
With the exception of "0", multiples ...”

“Hi All,
We''re told that both car A and car B set out from their original locations at exactly the SAME time and on exactly the SAME route. Car A drives from Morse to Houston at an average speed of 65 miles per hour and Car B drives from Houston to Morse at 50 miles per hour, and then ...”

“Hi All,
We''re told that the average age of a group of N people is 15 yrs and when one more person aged 39 joins the group, the new average is 17 yrs. We''re asked for the value of N. This question can be solved in a number of different ways, including with a bit of ''number logic'' and a little ...”